112355100 has 360 divisors, whose sum is σ = 432295248. Its totient is φ = 24883200.

The previous prime is 112355081. The next prime is 112355141. The reversal of 112355100 is 1553211.

112355100 is a `hidden beast` number, since 112 + 3 + 551 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1158252 + ... + 1158348.

Almost surely, 2^112355100 is an apocalyptic number.

112355100 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 112355100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216147624).

112355100 is an abundant number, since it is smaller than the sum of its proper divisors (319940148).

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

112355100 is a wasteful number, since it uses less digits than its factorization.

112355100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 112355100 is about 10599.7688654046. The cubic root of 112355100 is about 482.5373448683.

The spelling of 112355100 in words is "one hundred twelve million, three hundred fifty-five thousand, one hundred".