112977936 has 40 divisors (see below), whose sum is σ = 324289760. Its totient is φ = 37659168.

The previous prime is 112977923. The next prime is 112977941. The reversal of 112977936 is 639779211.

It is a junction number, because it is equal to n+sod(n) for n = 112977891 and 112977900.

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, 130330 + ... + 131193.

It is an arithmetic number, because the mean of its divisors is an integer number (8107244).

Almost surely, 2^112977936 is an apocalyptic number.

112977936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112977936 is an abundant number, since it is smaller than the sum of its proper divisors (211311824).

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

112977936 is a wasteful number, since it uses less digits than its factorization.

112977936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261540 (or 261528 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 112977936 is about 10629.1079588082. The cubic root of 112977936 is about 483.4273444823.

The spelling of 112977936 in words is "one hundred twelve million, nine hundred seventy-seven thousand, nine hundred thirty-six".