112615200 has 108 divisors (see below), whose sum is σ = 397134738. Its totient is φ = 30028800.

The previous prime is 112615193. The next prime is 112615213. The reversal of 112615200 is 2516211.

It can be written as a sum of positive squares in 3 ways, for example, as 109244304 + 3370896 = 10452^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 621 + ... + 15020.

Almost surely, 2^112615200 is an apocalyptic number.

112615200 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 112615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198567369).

112615200 is an abundant number, since it is smaller than the sum of its proper divisors (284519538).

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

112615200 is a wasteful number, since it uses less digits than its factorization.

112615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15667 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112615200 is about 10612.0309083606. The cubic root of 112615200 is about 482.9094129459.

It can be divided in two parts, 11261 and 5200, that added together give a palindrome (16461).

The spelling of 112615200 in words is "one hundred twelve million, six hundred fifteen thousand, two hundred".