112137916900 has 27 divisors (see below), whose sum is σ = 243346546569. Its totient is φ = 44853827280.

The previous prime is 112137916843. The next prime is 112137916949. The reversal of 112137916900 is 9619731211.

The square root of 112137916900 is 334870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40369650084 + 71768266816 = 200922^2 + 267896^2 .

It is a super-2 number, since 2×112137916900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3331957 + ... + 3365443.

Almost surely, 2^112137916900 is an apocalyptic number.

112137916900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112137916900 is the 334870-th square number.

It is an amenable number.

112137916900 is an abundant number, since it is smaller than the sum of its proper divisors (131208629669).

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

112137916900 is an frugal number, since it uses more digits than its factorization.

112137916900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66988 (or 33494 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 40.

The spelling of 112137916900 in words is "one hundred twelve billion, one hundred thirty-seven million, nine hundred sixteen thousand, nine hundred".