107036560 has 40 divisors (see below), whose sum is σ = 255593016. Its totient is φ = 41656320.

The previous prime is 107036509. The next prime is 107036581. The reversal of 107036560 is 65630701.

It can be written as a sum of positive squares in 4 ways, for example, as 45319824 + 61716736 = 6732^2 + 7856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107036560² = 22913650353267200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 15121 + ... + 21040.

Almost surely, 2^107036560 is an apocalyptic number.

107036560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107036560 is an abundant number, since it is smaller than the sum of its proper divisors (148556456).

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

107036560 is a wasteful number, since it uses less digits than its factorization.

107036560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36211 (or 36205 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 107036560 is about 10345.8474761616. The cubic root of 107036560 is about 474.8000044477.

The spelling of 107036560 in words is "one hundred seven million, thirty-six thousand, five hundred sixty".