112165632 has 108 divisors (see below), whose sum is σ = 327632760. Its totient is φ = 36900864.

The previous prime is 112165631. The next prime is 112165637. The reversal of 112165632 is 236561211.

112165632 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 656 + 3 + 2 = 666.

It is a super-2 number, since 2×112165632² = 25162258003918848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112165596 and 112165605.

It is not an unprimeable number, because it can be changed into a prime (112165631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204783 + ... + 205329.

Almost surely, 2^112165632 is an apocalyptic number.

112165632 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 112165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163816380).

112165632 is an abundant number, since it is smaller than the sum of its proper divisors (215467128).

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

112165632 is an equidigital number, since it uses as much as digits as its factorization.

112165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 112165632 is about 10590.8277296914. The cubic root of 112165632 is about 482.2659528708.

The spelling of 112165632 in words is "one hundred twelve million, one hundred sixty-five thousand, six hundred thirty-two".