112950100 has 18 divisors (see below), whose sum is σ = 245101934. Its totient is φ = 45180000.

The previous prime is 112950083. The next prime is 112950113. The reversal of 112950100 is 1059211.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 111809476 = 1068^2 + 10574^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 564651 + ... + 564850.

Almost surely, 2^112950100 is an apocalyptic number.

112950100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112950100 is an abundant number, since it is smaller than the sum of its proper divisors (132151834).

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

112950100 is a wasteful number, since it uses less digits than its factorization.

112950100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129515 (or 1129508 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 112950100 is about 10627.7984549953. The cubic root of 112950100 is about 483.3876382371.

It can be divided in two parts, 112950 and 100, that added together give a triangular number (113050 = T₄₇₅).

The spelling of 112950100 in words is "one hundred twelve million, nine hundred fifty thousand, one hundred".