112360000 has 105 divisors (see below), whose sum is σ = 283972381. Its totient is φ = 44096000.

The previous prime is 112359997. The next prime is 112360043. The reversal of 112360000 is 63211.

The square root of 112360000 is 10600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 62346816 + 50013184 = 7896^2 + 7072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2119974 + ... + 2120026.

Almost surely, 2^112360000 is an apocalyptic number.

112360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112360000 is the 10600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112360000

112360000 is an abundant number, since it is smaller than the sum of its proper divisors (171612381).

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

112360000 is an frugal number, since it uses more digits than its factorization.

112360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 112360000 is about 482.5443595287.

Multiplying 112360000 by its product of nonzero digits (36), we get a square (4044960000 = 63600²).

The spelling of 112360000 in words is "one hundred twelve million, three hundred sixty thousand".