112525600 has 144 divisors (see below), whose sum is σ = 315917280. Its totient is φ = 38707200.

The previous prime is 112525579. The next prime is 112525639. The reversal of 112525600 is 6525211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166864 + ... + 167536.

It is an arithmetic number, because the mean of its divisors is an integer number (2193870).

Almost surely, 2^112525600 is an apocalyptic number.

112525600 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 112525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157958640).

112525600 is an abundant number, since it is smaller than the sum of its proper divisors (203391680).

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

112525600 is a wasteful number, since it uses less digits than its factorization.

112525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 112525600 is about 10607.8084447260. The cubic root of 112525600 is about 482.7813066046.

The spelling of 112525600 in words is "one hundred twelve million, five hundred twenty-five thousand, six hundred".