112900 has 18 divisors (see below), whose sum is σ = 245210. Its totient is φ = 45120.

The previous prime is 112877. The next prime is 112901. The reversal of 112900 is 9211.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 112896 = 2^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (112901) by changing a digit.

112900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 465 + ... + 664.

2¹¹²⁹⁰⁰ is an apocalyptic number.

112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112900 is an abundant number, since it is smaller than the sum of its proper divisors (132310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112900 is a wasteful number, since it uses less digits than its factorization.

112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 112900 is about 336.0059523282. The cubic root of 112900 is about 48.3316157403.

The spelling of 112900 in words is "one hundred twelve thousand, nine hundred".