112953600 has 324 divisors, whose sum is σ = 422574516. Its totient is φ = 28753920.

The previous prime is 112953569. The next prime is 112953629. The reversal of 112953600 is 6359211.

112953600 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 53 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4460544 + 108493056 = 2112^2 + 10416^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131174 + ... + 2131226.

Almost surely, 2^112953600 is an apocalyptic number.

112953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211287258).

112953600 is an abundant number, since it is smaller than the sum of its proper divisors (309620916).

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

112953600 is a wasteful number, since it uses less digits than its factorization.

112953600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 112953600 is about 10627.9631162326. The cubic root of 112953600 is about 483.3926311182.

The spelling of 112953600 in words is "one hundred twelve million, nine hundred fifty-three thousand, six hundred".