112505600 has 54 divisors (see below), whose sum is σ = 278484780. Its totient is φ = 44999680.

The previous prime is 112505597. The next prime is 112505611. The reversal of 112505600 is 6505211.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 2390 + ... + 15189.

Almost surely, 2^112505600 is an apocalyptic number.

112505600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112505600 is an abundant number, since it is smaller than the sum of its proper divisors (165979180).

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

112505600 is an equidigital number, since it uses as much as digits as its factorization.

112505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 112505600 is about 10606.8657010448. The cubic root of 112505600 is about 482.7527021559.

It can be divided in two parts, 11 and 2505600, that multiplied together give a triangular number (27561600 = T₇₄₂₄).

The spelling of 112505600 in words is "one hundred twelve million, five hundred five thousand, six hundred".