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Concept
10
Summary
10 (ten) is the even natural number following 9 and preceding 11. It is the first double-digit number. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.
A collection of ten items (most often ten years) is called a decade.
The ordinal adjective is decimal; the distributive adjective is denary.
Increasing a quantity by one order of magnitude is most widely understood to mean multiplying the quantity by ten.
To reduce something by one tenth is to decimate. (In ancient Rome, the killing of one in ten soldiers in a cohort was the punishment for cowardice or mutiny; or, one-tenth of the able-bodied men in a village as a form of retribution, thus causing a labor shortage and threat of starvation in agrarian societies.)
List of highways numbered 10
The number of kingdoms in Five Dynasties and Ten Kingdoms period.
The house number of 10 Downing Street.
The number of Provinces in Canada.
Number of dots in a tetractys.
The number of the French department Aube.
Ten is the fifth composite number. It is also the smallest noncototient, a number that cannot be expressed as the difference between any integer and the total number of coprimes below it. It is the second discrete semiprime (), as well as the second member of the discrete semiprime family. Ten is the only number whose sum and difference of its prime divisors yield prime numbers ( and ). In general, powers of 10 contain divisors, where is the number of digits: 10 has 22 = 4 divisors, 100 has 32 = 9 divisors, 1,000 has 42 = 16 divisors, 10,000 has 52 = 25 divisors, and so forth. Ten is the smallest number whose status as a possible friendly number is unknown.
As important sums,
the sum of the first four positive integers.
the sum of the first three prime numbers, and the smallest semiprime that is the sum of all the distinct prime numbers from its lower factor through its higher factor.
the smallest number that can be written as the sum of two prime numbers in two different ways.
Official source
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