112506544 has 60 divisors (see below), whose sum is σ = 239828400. Its totient is φ = 51057664.

The previous prime is 112506539. The next prime is 112506553. The reversal of 112506544 is 445605211.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133677 + ... + 134515.

It is an arithmetic number, because the mean of its divisors is an integer number (3997140).

Almost surely, 2^112506544 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 112506544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119914200).

112506544 is an abundant number, since it is smaller than the sum of its proper divisors (127321856).

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

112506544 is a wasteful number, since it uses less digits than its factorization.

112506544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 112506544 is about 10606.9102004307. The cubic root of 112506544 is about 482.7540523621.

It can be divided in two parts, 112506 and 544, that added together give a triangular number (113050 = T₄₇₅).

The spelling of 112506544 in words is "one hundred twelve million, five hundred six thousand, five hundred forty-four".