112051600 has 30 divisors (see below), whose sum is σ = 269204930. Its totient is φ = 44820480.

The previous prime is 112051567. The next prime is 112051603. The reversal of 112051600 is 6150211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4804864 + 107246736 = 2192^2 + 10356^2 .

It is a super-2 number, since 2×112051600² = 25111122125120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112051603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139665 + ... + 140464.

Almost surely, 2^112051600 is an apocalyptic number.

112051600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112051600 is an abundant number, since it is smaller than the sum of its proper divisors (157153330).

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

112051600 is a wasteful number, since it uses less digits than its factorization.

112051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280147 (or 280136 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 112051600 is about 10585.4428343835. The cubic root of 112051600 is about 482.1024672678.

The spelling of 112051600 in words is "one hundred twelve million, fifty-one thousand, six hundred".