112162400 has 72 divisors (see below), whose sum is σ = 312948720. Its totient is φ = 38453760.

The previous prime is 112162387. The next prime is 112162403. The reversal of 112162400 is 4261211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112162403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4415 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (4346510).

Almost surely, 2^112162400 is an apocalyptic number.

112162400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112162400 is an abundant number, since it is smaller than the sum of its proper divisors (200786320).

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

112162400 is a wasteful number, since it uses less digits than its factorization.

112162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056 (or 20043 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 112162400 is about 10590.6751437290. The cubic root of 112162400 is about 482.2613207373.

The spelling of 112162400 in words is "one hundred twelve million, one hundred sixty-two thousand, four hundred".