107882920 has 16 divisors (see below), whose sum is σ = 242736660. Its totient is φ = 43153152.

The previous prime is 107882917. The next prime is 107882923. The reversal of 107882920 is 29288701.

It is an interprime number because it is at equal distance from previous prime (107882917) and next prime (107882923).

It can be written as a sum of positive squares in 2 ways, for example, as 107868996 + 13924 = 10386^2 + 118^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107882920.

It is not an unprimeable number, because it can be changed into a prime (107882923) 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 3 ways as a sum of consecutive naturals, for example, 1348497 + ... + 1348576.

Almost surely, 2^107882920 is an apocalyptic number.

107882920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107882920 is an abundant number, since it is smaller than the sum of its proper divisors (134853740).

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

107882920 is a wasteful number, since it uses less digits than its factorization.

107882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697084 (or 2697080 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 107882920 is about 10386.6703038077. The cubic root of 107882920 is about 476.0481673358.

The spelling of 107882920 in words is "one hundred seven million, eight hundred eighty-two thousand, nine hundred twenty".