107768520 has 48 divisors (see below), whose sum is σ = 350248860. Its totient is φ = 28738176.

The previous prime is 107768497. The next prime is 107768537. The reversal of 107768520 is 25867701.

107768520 is a `hidden beast` number, since 1 + 0 + 77 + 68 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105390756 + 2377764 = 10266^2 + 1542^2 .

It is a super-2 number, since 2×107768520² = 23228107805980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 149319 + ... + 150038.

Almost surely, 2^107768520 is an apocalyptic number.

107768520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107768520 is an abundant number, since it is smaller than the sum of its proper divisors (242480340).

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

107768520 is a wasteful number, since it uses less digits than its factorization.

107768520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299374 (or 299367 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 107768520 is about 10381.1617846944. The cubic root of 107768520 is about 475.8798392643.

The spelling of 107768520 in words is "one hundred seven million, seven hundred sixty-eight thousand, five hundred twenty".