108405684 has 36 divisors (see below), whose sum is σ = 275115204. Its totient is φ = 35991552.

The previous prime is 108405677. The next prime is 108405701. The reversal of 108405684 is 486504801.

108405684 is a `hidden beast` number, since 10 + 84 + 0 + 568 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50979600 + 57426084 = 7140^2 + 7578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3394 + ... + 15110.

It is an arithmetic number, because the mean of its divisors is an integer number (7642089).

Almost surely, 2^108405684 is an apocalyptic number.

It is an amenable number.

108405684 is an abundant number, since it is smaller than the sum of its proper divisors (166709520).

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

108405684 is a wasteful number, since it uses less digits than its factorization.

108405684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108405684 is about 10411.8050308292. The cubic root of 108405684 is about 476.8158512834.

The spelling of 108405684 in words is "one hundred eight million, four hundred five thousand, six hundred eighty-four".