112428100 has 36 divisors (see below), whose sum is σ = 244898388. Its totient is φ = 44800000.

The previous prime is 112428067. The next prime is 112428131. The reversal of 112428100 is 1824211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12787776 + 99640324 = 3576^2 + 9982^2 .

It is a super-2 number, since 2×112428100² = 25280155339220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 26100 + ... + 30100.

It is an arithmetic number, because the mean of its divisors is an integer number (6802733).

Almost surely, 2^112428100 is an apocalyptic number.

112428100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112428100 is an abundant number, since it is smaller than the sum of its proper divisors (132470288).

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

112428100 is a wasteful number, since it uses less digits than its factorization.

112428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 112428100 is about 10603.2117775700. The cubic root of 112428100 is about 482.6418278869.

It can be divided in two parts, 1124 and 28100, that multiplied together give a square (31584400 = 5620²).

The spelling of 112428100 in words is "one hundred twelve million, four hundred twenty-eight thousand, one hundred".