113982112 has 48 divisors (see below), whose sum is σ = 235472832. Its totient is φ = 54208000.

The previous prime is 113982109. The next prime is 113982131. The reversal of 113982112 is 211289311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184428 + ... + 185044.

It is an arithmetic number, because the mean of its divisors is an integer number (4905684).

Almost surely, 2^113982112 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 113982112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117736416).

113982112 is an abundant number, since it is smaller than the sum of its proper divisors (121490720).

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

113982112 is a wasteful number, since it uses less digits than its factorization.

113982112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 893 counting only the distinct ones).

The product of its digits is 864, while the sum is 28.

The square root of 113982112 is about 10676.2405368182. The cubic root of 113982112 is about 484.8553960088.

The spelling of 113982112 in words is "one hundred thirteen million, nine hundred eighty-two thousand, one hundred twelve".