112118600 has 144 divisors (see below), whose sum is σ = 296113860. Its totient is φ = 39424000.

The previous prime is 112118597. The next prime is 112118653. The reversal of 112118600 is 6811211.

It can be written as a sum of positive squares in 6 ways, for example, as 139876 + 111978724 = 374^2 + 10582^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 992144 + ... + 992256.

Almost surely, 2^112118600 is an apocalyptic number.

112118600 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 112118600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148056930).

112118600 is an abundant number, since it is smaller than the sum of its proper divisors (183995260).

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

112118600 is a wasteful number, since it uses less digits than its factorization.

112118600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

The square root of 112118600 is about 10588.6070849758. The cubic root of 112118600 is about 482.1985373804.

Adding to 112118600 its reverse (6811211), we get a palindrome (118929811).

The spelling of 112118600 in words is "one hundred twelve million, one hundred eighteen thousand, six hundred".