112777056 has 192 divisors, whose sum is σ = 389491200. Its totient is φ = 31062528.

The previous prime is 112777033. The next prime is 112777087. The reversal of 112777056 is 650777211.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112777056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175071 + ... + 175713.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2^112777056 is an apocalyptic number.

112777056 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 112777056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

112777056 is an abundant number, since it is smaller than the sum of its proper divisors (276714144).

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

112777056 is a wasteful number, since it uses less digits than its factorization.

112777056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 112777056 is about 10619.6542316593. The cubic root of 112777056 is about 483.1406557676.

The spelling of 112777056 in words is "one hundred twelve million, seven hundred seventy-seven thousand, fifty-six".