112645600 has 72 divisors (see below), whose sum is σ = 277247880. Its totient is φ = 44689920.

The previous prime is 112645591. The next prime is 112645607. The reversal of 112645600 is 6546211.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112645607) 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, 110694 + ... + 111706.

It is an arithmetic number, because the mean of its divisors is an integer number (3850665).

Almost surely, 2^112645600 is an apocalyptic number.

112645600 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 112645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623940).

112645600 is an abundant number, since it is smaller than the sum of its proper divisors (164602280).

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

112645600 is a wasteful number, since it uses less digits than its factorization.

112645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 112645600 is about 10613.4631482848. The cubic root of 112645600 is about 482.9528621588.

The spelling of 112645600 in words is "one hundred twelve million, six hundred forty-five thousand, six hundred".