112281600 has 288 divisors, whose sum is σ = 402161760. Its totient is φ = 27525120.

The previous prime is 112281577. The next prime is 112281623. The reversal of 112281600 is 6182211.

It is an interprime number because it is at equal distance from previous prime (112281577) and next prime (112281623).

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, 2611179 + ... + 2611221.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 2^112281600 is an apocalyptic number.

112281600 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 112281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

112281600 is an abundant number, since it is smaller than the sum of its proper divisors (289880160).

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

112281600 is a wasteful number, since it uses less digits than its factorization.

112281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 112281600 is about 10596.3012414710. The cubic root of 112281600 is about 482.4321004796.

The spelling of 112281600 in words is "one hundred twelve million, two hundred eighty-one thousand, six hundred".