112761600 has 216 divisors, whose sum is σ = 425806080. Its totient is φ = 25743360.

The previous prime is 112761589. The next prime is 112761613. The reversal of 112761600 is 6167211.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133981 + ... + 134819.

Almost surely, 2^112761600 is an apocalyptic number.

112761600 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 112761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212903040).

112761600 is an abundant number, since it is smaller than the sum of its proper divisors (313044480).

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

112761600 is an equidigital number, since it uses as much as digits as its factorization.

112761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 112761600 is about 10618.9264994160. The cubic root of 112761600 is about 483.1185834201.

The spelling of 112761600 in words is "one hundred twelve million, seven hundred sixty-one thousand, six hundred".