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{{Redirect|Hundred|other uses|100 (disambiguation)|and|Hundred (disambiguation)}}
{{Infobox number
| number = 100
| cardinal = one [[Wiktionary:hundred|hundred]]
| divisor = 1, 2, 4, 5, 10, 20, 25, 50, 100
| roman = C, c
| roman unicode = Ⅽ, ⅽ, Ｃ, ｃ
| lang1 = [[Greek numerals|Greek numeral]]
| lang1 symbol = ρ
| lang2 = [[Hindu–Arabic numeral system|Arabic]]
| lang2 symbol = <span style="font-size:150%;">١٠٠</span>
| lang3 = [[Bengali language|Bengali]]
| lang3 symbol = <span style="font-size:150%;">১০০</span>
| lang4 = [[Chinese numerals|Chinese numeral]]
| lang4 symbol = 佰,百
| lang5 = [[Devanagari]]
| lang5 symbol = <span style="font-size:150%;">१००</span>
| lang6 = [[Hebrew numerals|Hebrew]]
| lang6 symbol = <span style="font-size:150%;">ק</span>
| lang7 = [[Khmer numerals|Khmer]]
| lang7 symbol =  ១០០
|lang8=[[Armenian numerals|Armenian]]|lang8 symbol=Ճ| lang9 = [[Tamil numerals|Tamil]]
| lang9 symbol =  ௱, க௦௦
| lang10 = [[Thai numerals|Thai]]
| lang10 symbol = ๑๐๐
|lang11=[[Egyptian numerals|Egyptian hieroglyph]]|lang11 symbol=<span style="font-size:300%;">𓍢</span>|lang12=[[Babylonian cuneiform numerals|Babylonian cuneiform]]|lang12 symbol=𒐕𒐏|lang13=[[Japanese numerals|Japanese]]|lang13 symbol=ひゃく}}
'''100''' or '''one hundred''' ([[Roman numerals|Roman numeral]]: '''C'''){{refn|Reinforced by but not originally derived from [[Latin]] {{lang|la|centum}}.}} is the [[natural number]] following [[99 (number)|99]] and preceding [[101 (number)|101]].

==In mathematics==
[[File:cube-sum-100.png|thumb|100 as the sum of the first positive cubes]]
100 is the square of [[10 (number)|10]] (in [[scientific notation]] it is written as 10<sup>2</sup>). The standard [[SI prefix]] for a hundred is "[[Hecto-|hecto]]-".

100 is the basis of [[percentage]]s ({{Lang|la|per centum}} meaning "by the hundred" in Latin), with 100% being a full amount.

100 is a [[Harshad number]] in [[decimal]], and also in base-four, a base in-which it is also a [[self-descriptive number]].<ref>{{Cite web|url=https://oeis.org/A005349|title=Sloane's A005349 : Niven (or Harshad) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref><ref>{{Cite OEIS |A108551 |Self-descriptive numbers in various bases represented in base 10 |access-date=2022-12-08 }}</ref>

100 is the sum of the first nine [[prime number]]s, from [[2]] through [[23 (number)|23]].<ref>{{cite OEIS|A007504|Sum of the first n primes.}}</ref> It is also divisible by the number of primes below it, [[25 (number)|25]].<ref>{{cite OEIS|A057809|Numbers n such that pi(n) divides n.}}</ref>

100 cannot be expressed as the difference between any integer and the total of [[coprime]]s below it, making it a [[noncototient]].<ref>{{Cite OEIS |A005278 |Noncototients |access-date=2022-12-08 }}</ref>

100 has a [[Carmichael function|reduced totient]] of 20, and an [[Euler totient]] of 40.<ref>{{Cite OEIS |A002322 |Reduced totient function |access-date=2022-12-08 }}</ref><ref>{{Cite OEIS |A000010 |Euler totient function }}</ref> A totient value of 100 is obtained from four numbers: [[101 (number)|101]], [[125 (number)|125]], [[202 (number)|202]], and [[250 (number)|250]].

100 can be expressed as a sum of some of its divisors, making it a [[semiperfect number]].<ref>{{Cite OEIS |A005835 |Pseudoperfect (or semiperfect) numbers n |access-date=2022-12-08 }}</ref> The [[geometric mean]] of its nine divisors is [[10 (number)|10]].

100 is the sum of the [[Cube (algebra)|cubes]] of the first four positive [[integers]] (100 = 1<sup>3</sup> + 2<sup>3</sup> + 3<sup>3</sup> + 4<sup>3</sup>).<ref>{{Cite OEIS |A025403 |Numbers that are the sum of 4 positive cubes in exactly 1 way. |access-date=2022-12-08 }}</ref> This is related by [[Nicomachus's theorem]] to the fact that 100 also equals the square of the sum of the first four positive integers: {{nowrap|1=100 = 10<sup>2</sup> = (1 + 2 + 3 + 4)<sup>2</sup>}}.<ref>{{Cite OEIS|A000537|name=Sum of first n cubes; or n-th triangular number squared}}</ref>

100 = 2<sup>6</sup> + 6<sup>2</sup>, thus 100 is the seventh [[Leyland number]].<ref>{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref> 100 is also the seventeenth [[Erdős–Woods number]], and the fourth 18-[[Polygonal number|gonal number]].<ref>{{Cite OEIS |A059756 |Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints |access-date=2022-11-30 }}</ref><ref>{{Cite web|url=https://oeis.org/A051870|title=Sloane's A051870 : 18-gonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}</ref>

It is the 10th [[star number]]<ref>{{Cite OEIS |A003154 |access-date=2023-09-02 }}</ref> (whose [[digit sum]] also adds to 10 in [[Base ten|decimal]]).

==In history==
*In medieval contexts, it may be described as the '''short hundred''' or five [[20 (number)|score]] in order to differentiate the [[English language|English]] and [[Germanic languages|Germanic]] use of "hundred" to describe the [[long hundred]]{{refn|see {{crossreference|{{sectionlink|Duodecimal|Origin}}}}}} of six [[20 (number)|score]] or [[120 (number)|120]].

==In money==
[[File:Hundred rupee note India.jpg|thumb | Hundred rupee note India]]
Most of the world's [[currency|currencies]] are divided into 100 subunits. For example, one [[euro]] is one hundred cents and one [[pound sterling]] is one hundred pence.

By specification, [[100 euro note]]s feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.

[[File:New100front.jpg|thumb|right|250px|The [[United States one-hundred-dollar bill|U.S. hundred-dollar bill]], Series 2009]]
The [[United States one-hundred-dollar bill]] has [[Benjamin Franklin]]'s portrait; this "Benjamin" is the largest American [[banknote]] in circulation.

==In other fields==

=== Computers & Software ===
* The [[List of HTTP status codes|HTTP status code]] indicating that the client should continue with its request.
* 100 Mbps Ethernet: [[Fast Ethernet]] standard.

=== Science & Measurement ===
* 100°C: The [[Boiling point|boiling point of water]] under standard atmospheric pressure.
* 100 centimetres '''=''' 1 meter: Used in [[Metric system|metric]] measurements.
* 100 is the [[atomic number]] of [[Fermium |Fermium (Fm)]]: A synthetic chemical element in the periodic table.

=== Sports ===
* [[100 metres|100-meter sprint]]: One of the most prestigious Olympic events.

=== Culture ===
* 100 emoji 💯: Is commonly used to represent something excellent or perfect.

==See also==
{{Portal|Mathematics}}
* ''[[1 vs. 100]]''
* [[AFI's 100 Years...]]
* [[Hundred (county division)]]
* [[Hundred (word)]]
* [[Hundred Days (disambiguation)|Hundred Days]]
* [[Hundred Years' War]]
* [[List of highways numbered 100]]
* [[Top 100 (disambiguation)|Top 100]]
* [[100 greatest (disambiguation)|Greatest 100]]

== References ==
<!--- See [[Wikipedia:Footnotes]] on how to create references using <ref></ref> tags which will then appear here automatically -->
{{Reflist}}
* Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 133

==External links==
{{Wiktionary|hundred}}
{{Commons category}}
*{{cite EB1911|wstitle=Hundred}}
*{{cite web |title=On the Number 100 |url=https://www.wisdomportal.com/Numbers/100.html |website=WisdomPortal.com}}

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