112305984 has 56 divisors (see below), whose sum is σ = 339595968. Its totient is φ = 32087040.

The previous prime is 112305971. The next prime is 112306013. The reversal of 112305984 is 489503211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×112305984² = 25225268084416512, which contains 22 as substring.

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, 40437 + ... + 43124.

Almost surely, 2^112305984 is an apocalyptic number.

112305984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112305984 is an abundant number, since it is smaller than the sum of its proper divisors (227289984).

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

112305984 is an equidigital number, since it uses as much as digits as its factorization.

112305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83583 (or 83573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 112305984 is about 10597.4517691755. The cubic root of 112305984 is about 482.4670209322.

The spelling of 112305984 in words is "one hundred twelve million, three hundred five thousand, nine hundred eighty-four".