112056840 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 25099776.

The previous prime is 112056829. The next prime is 112056853. The reversal of 112056840 is 48650211.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 133141 + ... + 133979.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^112056840 is an apocalyptic number.

112056840 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 112056840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

112056840 is an abundant number, since it is smaller than the sum of its proper divisors (312512760).

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

112056840 is a wasteful number, since it uses less digits than its factorization.

112056840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112056840 is about 10585.6903412106. The cubic root of 112056840 is about 482.1099821912.

It can be divided in two parts, 112056 and 840, that added together give a square (112896 = 336²).

The spelling of 112056840 in words is "one hundred twelve million, fifty-six thousand, eight hundred forty".