112505664 has 56 divisors (see below), whose sum is σ = 300614080. Its totient is φ = 37131264.

The previous prime is 112505647. The next prime is 112505693. The reversal of 112505664 is 466505211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16932 + ... + 22620.

Almost surely, 2^112505664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150307040).

112505664 is an abundant number, since it is smaller than the sum of its proper divisors (188108416).

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

112505664 is a wasteful number, since it uses less digits than its factorization.

112505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 112505664 is about 10606.8687179582. The cubic root of 112505664 is about 482.7527936956.

The spelling of 112505664 in words is "one hundred twelve million, five hundred five thousand, six hundred sixty-four".