112327600 has 180 divisors, whose sum is σ = 343123128. Its totient is φ = 34944000.

The previous prime is 112327591. The next prime is 112327613. The reversal of 112327600 is 6723211.

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 35 ways as a sum of consecutive naturals, for example, 215340 + ... + 215860.

Almost surely, 2^112327600 is an apocalyptic number.

112327600 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 112327600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171561564).

112327600 is an abundant number, since it is smaller than the sum of its proper divisors (230795528).

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

112327600 is a wasteful number, since it uses less digits than its factorization.

112327600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 112327600 is about 10598.4715879225. The cubic root of 112327600 is about 482.4979730914.

It can be divided in two parts, 11 and 2327600, that multiplied together give a square (25603600 = 5060²).

The spelling of 112327600 in words is "one hundred twelve million, three hundred twenty-seven thousand, six hundred".