112880016 has 60 divisors (see below), whose sum is σ = 318087900. Its totient is φ = 37367040.

The previous prime is 112879997. The next prime is 112880023. The reversal of 112880016 is 610088211.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 66585600 = 6804^2 + 8160^2 .

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 11 ways as a sum of consecutive naturals, for example, 18826 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (5301465).

Almost surely, 2^112880016 is an apocalyptic number.

112880016 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 112880016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159043950).

112880016 is an abundant number, since it is smaller than the sum of its proper divisors (205207884).

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

112880016 is a wasteful number, since it uses less digits than its factorization.

112880016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112880016 is about 10624.5007412113. The cubic root of 112880016 is about 483.2876390677.

The spelling of 112880016 in words is "one hundred twelve million, eight hundred eighty thousand, sixteen".