107086536 has 80 divisors (see below), whose sum is σ = 317617740. Its totient is φ = 33592320.

The previous prime is 107086523. The next prime is 107086543. The reversal of 107086536 is 635680701.

It can be written as a sum of positive squares in 2 ways, for example, as 104162436 + 2924100 = 10206^2 + 1710^2 .

It is a super-2 number, since 2×107086536² = 22935052384958592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107086536.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6156 + ... + 15876.

Almost surely, 2^107086536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107086536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158808870).

107086536 is an abundant number, since it is smaller than the sum of its proper divisors (210531204).

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

107086536 is a wasteful number, since it uses less digits than its factorization.

107086536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107086536 is about 10348.2624628485. The cubic root of 107086536 is about 474.8738885890.

The spelling of 107086536 in words is "one hundred seven million, eighty-six thousand, five hundred thirty-six".