110 (number)

110 is a sphenic number and a pronic number.{{Cite web|url=https://oeis.org/A002378|title=Sloane's A002378 : Oblong (or promic, pronic, or heteromecic) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}} Following the prime quadruplet (101, 103, 107, 109), at 110, the Mertens function reaches a low of −5.

110 is the sum of three consecutive squares, $110\; =\; 5^2\; +\; 6^2\; +\; 7^2$.

RSA-110 is one of the RSA numbers, large semiprimes that are part of the RSA Factoring Challenge.

In base 10, the number 110 is a Harshad number{{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}} and a self number.{{Cite web|url=https://oeis.org/A003052|title=Sloane's A003052 : Self numbers or Colombian numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27}}

110 is also:

• 1-1-0, the emergency telephone number used to reach police services in Iran, Germany, Estonia, China, Indonesia, and Japan. Also used to reach the fire and rescue services in Norway and Turkey.
• A percentage in the expression "To give 110%", meaning to give a little more effort than one's maximum effort
• Lowest number to not be considered a favourite by anyone among 44,000 people surveyed in a 2014 online poll{{Cite news|url=https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/apr/08/seven-worlds-favourite-number-online-survey|title='Seven' triumphs in poll to discover world's favourite number|last=Bellos|first=Alex|date=2014-04-08|newspaper=The Guardian|access-date=2017-02-08|language=en-GB|issn=0261-3077}} and subsequently adopted by British television show QI as the show's favourite number in 2017.

{{Wiktionary|eleventy|eleventy-first|eleventy-eleven}}

;Compare twelfty.

• One hundred and ten is also known as "eleventy", a term made famous in its ordinal form by linguist and author J. R. R. Tolkien (Bilbo Baggins celebrates his eleventy-first birthday at the beginning of The Lord of the Rings) and derived from the Old English {{lang|ang|hund endleofantig}}.[http://www.etymonline.com/index.php?search=eleventy Etymology at www.etymoline.com]
• Eleventy is used in the comic reading of a phone number in the Irish TV series The Savage Eye by Dave McSavage playing an opiate user advertising life insurance.

• Eleventy has also been used to mean an indefinite large number - "lots".{{Cn|date=September 2024}} Similarly eleventy-eleven was used in nineteenth century Mississippi in the same role.{{Cite book| title=Some Peculiarities of Speech in Mississippi| page=43| author = Hubert Anthony Shands| publisher = Norwood Press| date= 1893}}

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Category:Integers