112954800 has 360 divisors, whose sum is σ = 449609616. Its totient is φ = 24084480.

The previous prime is 112954789. The next prime is 112954843. The reversal of 112954800 is 8459211.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 999544 + ... + 999656.

Almost surely, 2^112954800 is an apocalyptic number.

112954800 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 112954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224804808).

112954800 is an abundant number, since it is smaller than the sum of its proper divisors (336654816).

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

112954800 is a wasteful number, since it uses less digits than its factorization.

112954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 112954800 is about 10628.0195709267. The cubic root of 112954800 is about 483.3943429394.

The spelling of 112954800 in words is "one hundred twelve million, nine hundred fifty-four thousand, eight hundred".