112516320 has 96 divisors (see below), whose sum is σ = 405070848. Its totient is φ = 25717248.

The previous prime is 112516289. The next prime is 112516331. The reversal of 112516320 is 23615211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13384 + ... + 20103.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^112516320 is an apocalyptic number.

112516320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112516320 is an abundant number, since it is smaller than the sum of its proper divisors (292554528).

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

112516320 is a wasteful number, since it uses less digits than its factorization.

112516320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33512 (or 33504 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 112516320 is about 10607.3710220771. The cubic root of 112516320 is about 482.7680345619.

It can be divided in two parts, 11251 and 6320, that added together give a palindrome (17571).

The spelling of 112516320 in words is "one hundred twelve million, five hundred sixteen thousand, three hundred twenty".