112055680 has 96 divisors (see below), whose sum is σ = 294653520. Its totient is φ = 40719360.

The previous prime is 112055677. The next prime is 112055683. The reversal of 112055680 is 86550211.

It is an interprime number because it is at equal distance from previous prime (112055677) and next prime (112055683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112055683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 76717 + ... + 78163.

Almost surely, 2^112055680 is an apocalyptic number.

112055680 is a gapful number since it is divisible by the number (10) 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 112055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147326760).

112055680 is an abundant number, since it is smaller than the sum of its proper divisors (182597840).

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

112055680 is a wasteful number, since it uses less digits than its factorization.

112055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 112055680 is about 10585.6355501217. The cubic root of 112055680 is about 482.1083186024.

The spelling of 112055680 in words is "one hundred twelve million, fifty-five thousand, six hundred eighty".