112753800 has 144 divisors (see below), whose sum is σ = 389128740. Its totient is φ = 29237760.

The previous prime is 112753793. The next prime is 112753807. The reversal of 112753800 is 8357211.

112753800 is a `hidden beast` number, since 1 + 127 + 538 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112753793) and next prime (112753807).

It can be written as a sum of positive squares in 6 ways, for example, as 59259204 + 53494596 = 7698^2 + 7314^2 .

It is not an unprimeable number, because it can be changed into a prime (112753807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65754 + ... + 67446.

Almost surely, 2^112753800 is an apocalyptic number.

112753800 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 112753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194564370).

112753800 is an abundant number, since it is smaller than the sum of its proper divisors (276374940).

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

112753800 is a wasteful number, since it uses less digits than its factorization.

112753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 112753800 is about 10618.5592243016. The cubic root of 112753800 is about 483.1074436590.

The spelling of 112753800 in words is "one hundred twelve million, seven hundred fifty-three thousand, eight hundred".