112113792 has 96 divisors (see below), whose sum is σ = 368734080. Its totient is φ = 32030208.

The previous prime is 112113787. The next prime is 112113809. The reversal of 112113792 is 297311211.

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

It is a nude number because it is divisible by every one of its digits.

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, 1113 + ... + 15015.

It is an arithmetic number, because the mean of its divisors is an integer number (3840980).

Almost surely, 2^112113792 is an apocalyptic number.

112113792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184367040).

112113792 is an abundant number, since it is smaller than the sum of its proper divisors (256620288).

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

112113792 is a wasteful number, since it uses less digits than its factorization.

112113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13930 (or 13915 counting only the distinct ones).

The product of its digits is 756, while the sum is 27.

The square root of 112113792 is about 10588.3800460694. The cubic root of 112113792 is about 482.1916445493.

The spelling of 112113792 in words is "one hundred twelve million, one hundred thirteen thousand, seven hundred ninety-two".