112581600 has 144 divisors (see below), whose sum is σ = 372944880. Its totient is φ = 29491200.

The previous prime is 112581587. The next prime is 112581673. The reversal of 112581600 is 6185211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146016 + ... + 146784.

It is an arithmetic number, because the mean of its divisors is an integer number (2589895).

Almost surely, 2^112581600 is an apocalyptic number.

112581600 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 112581600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186472440).

112581600 is an abundant number, since it is smaller than the sum of its proper divisors (260363280).

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

112581600 is a wasteful number, since it uses less digits than its factorization.

112581600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 112581600 is about 10610.4476814129. The cubic root of 112581600 is about 482.8613810336.

The spelling of 112581600 in words is "one hundred twelve million, five hundred eighty-one thousand, six hundred".