112881600 has 420 divisors, whose sum is σ = 453510904. Its totient is φ = 27371520.

The previous prime is 112881589. The next prime is 112881611. The reversal of 112881600 is 6188211.

It is an interprime number because it is at equal distance from previous prime (112881589) and next prime (112881611).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684767 + ... + 1684833.

Almost surely, 2^112881600 is an apocalyptic number.

112881600 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 112881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226755452).

112881600 is an abundant number, since it is smaller than the sum of its proper divisors (340629304).

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

112881600 is a wasteful number, since it uses less digits than its factorization.

112881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 112881600 is about 10624.5752856291. The cubic root of 112881600 is about 483.2898996510.

It can be divided in two parts, 1128 and 81600, that added together give a palindrome (82728).

The spelling of 112881600 in words is "one hundred twelve million, eight hundred eighty-one thousand, six hundred".