112439400 has 96 divisors (see below), whose sum is σ = 353891040. Its totient is φ = 29525760.

The previous prime is 112439399. The next prime is 112439401. The reversal of 112439400 is 4934211.

It is an interprime number because it is at equal distance from previous prime (112439399) and next prime (112439401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112439401) 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 23 ways as a sum of consecutive naturals, for example, 38802 + ... + 41598.

It is an arithmetic number, because the mean of its divisors is an integer number (3686365).

Almost surely, 2^112439400 is an apocalyptic number.

112439400 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 112439400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176945520).

112439400 is an abundant number, since it is smaller than the sum of its proper divisors (241451640).

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

112439400 is a wasteful number, since it uses less digits than its factorization.

112439400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 112439400 is about 10603.7446215948. The cubic root of 112439400 is about 482.6579972430.

The spelling of 112439400 in words is "one hundred twelve million, four hundred thirty-nine thousand, four hundred".