107961336 has 80 divisors (see below), whose sum is σ = 345605040. Its totient is φ = 30844800.

The previous prime is 107961317. The next prime is 107961353. The reversal of 107961336 is 633169701.

107961336 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 613 + 36 = 666.

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 107961336.

It is a congruent number.

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, 7365 + ... + 16436.

It is an arithmetic number, because the mean of its divisors is an integer number (4320063).

Almost surely, 2^107961336 is an apocalyptic number.

It is an amenable number.

107961336 is an abundant number, since it is smaller than the sum of its proper divisors (237643704).

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

107961336 is a wasteful number, since it uses less digits than its factorization.

107961336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23826 (or 23813 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 107961336 is about 10390.4444563262. Note that the first 4 decimals coincide. The cubic root of 107961336 is about 476.1634798499.

The spelling of 107961336 in words is "one hundred seven million, nine hundred sixty-one thousand, three hundred thirty-six".