112056336 has 90 divisors (see below), whose sum is σ = 364825422. Its totient is φ = 32014080.

The previous prime is 112056331. The next prime is 112056349. The reversal of 112056336 is 633650211.

112056336 is a `hidden beast` number, since 1 + 1 + 20 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110250000 + 1806336 = 10500^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (112056331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 885 + ... + 14996.

Almost surely, 2^112056336 is an apocalyptic number.

112056336 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 112056336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182412711).

112056336 is an abundant number, since it is smaller than the sum of its proper divisors (252769086).

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

112056336 is a wasteful number, since it uses less digits than its factorization.

112056336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909 (or 15893 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 112056336 is about 10585.6665354620. Note that the first 3 decimals coincide. The cubic root of 112056336 is about 482.1092593919.

The spelling of 112056336 in words is "one hundred twelve million, fifty-six thousand, three hundred thirty-six".