112052400 has 60 divisors (see below), whose sum is σ = 358945032. Its totient is φ = 29880320.

The previous prime is 112052399. The next prime is 112052401. The reversal of 112052400 is 4250211.

It is an interprime number because it is at equal distance from previous prime (112052399) and next prime (112052401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112052400.

It is not an unprimeable number, because it can be changed into a prime (112052401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45489 + ... + 47888.

Almost surely, 2^112052400 is an apocalyptic number.

112052400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112052400 is an abundant number, since it is smaller than the sum of its proper divisors (246892632).

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

112052400 is a wasteful number, since it uses less digits than its factorization.

112052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93398 (or 93387 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 112052400 is about 10585.4806220596. The cubic root of 112052400 is about 482.1036145995.

The spelling of 112052400 in words is "one hundred twelve million, fifty-two thousand, four hundred".