112834800 has 180 divisors, whose sum is σ = 421863624. Its totient is φ = 27763200.

The previous prime is 112834783. The next prime is 112834807. The reversal of 112834800 is 8438211.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112834807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45595 + ... + 48005.

Almost surely, 2^112834800 is an apocalyptic number.

112834800 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 112834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210931812).

112834800 is an abundant number, since it is smaller than the sum of its proper divisors (309028824).

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

112834800 is a wasteful number, since it uses less digits than its factorization.

112834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112834800 is about 10622.3726163226. The cubic root of 112834800 is about 483.2231007698.

The spelling of 112834800 in words is "one hundred twelve million, eight hundred thirty-four thousand, eight hundred".