112109800 has 96 divisors (see below), whose sum is σ = 287258400. Its totient is φ = 40352000.

The previous prime is 112109783. The next prime is 112109819. The reversal of 112109800 is 8901211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288006 + ... + 288394.

It is an arithmetic number, because the mean of its divisors is an integer number (2992275).

Almost surely, 2^112109800 is an apocalyptic number.

112109800 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 112109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143629200).

112109800 is an abundant number, since it is smaller than the sum of its proper divisors (175148600).

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

112109800 is a wasteful number, since it uses less digits than its factorization.

112109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 112109800 is about 10588.1915358573. The cubic root of 112109800 is about 482.1859214000.

The spelling of 112109800 in words is "one hundred twelve million, one hundred nine thousand, eight hundred".