112165056 has 168 divisors, whose sum is σ = 348823280. Its totient is φ = 34338816.

The previous prime is 112164979. The next prime is 112165057. The reversal of 112165056 is 650561211.

It is a happy number.

112165056 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 650 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (112165057) 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 23 ways as a sum of consecutive naturals, for example, 404790 + ... + 405066.

Almost surely, 2^112165056 is an apocalyptic number.

112165056 is a gapful number since it is divisible by the number (16) 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 112165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174411640).

112165056 is an abundant number, since it is smaller than the sum of its proper divisors (236658224).

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

112165056 is a wasteful number, since it uses less digits than its factorization.

112165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112165056 is about 10590.8005363145. The cubic root of 112165056 is about 482.2651273486.

The spelling of 112165056 in words is "one hundred twelve million, one hundred sixty-five thousand, fifty-six".