112638600 has 240 divisors, whose sum is σ = 415235700. Its totient is φ = 28200960.

The previous prime is 112638599. The next prime is 112638623. The reversal of 112638600 is 6836211.

112638600 is a `hidden beast` number, since 1 + 1 + 26 + 38 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 83283876 + 29354724 = 9126^2 + 5418^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 275196 + ... + 275604.

Almost surely, 2^112638600 is an apocalyptic number.

112638600 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 112638600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207617850).

112638600 is an abundant number, since it is smaller than the sum of its proper divisors (302597100).

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

112638600 is a wasteful number, since it uses less digits than its factorization.

112638600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 112638600 is about 10613.1333733257. The cubic root of 112638600 is about 482.9428580986.

The spelling of 112638600 in words is "one hundred twelve million, six hundred thirty-eight thousand, six hundred".