108137664 has 168 divisors, whose sum is σ = 335615280. Its totient is φ = 33177600.

The previous prime is 108137599. The next prime is 108137671. The reversal of 108137664 is 466731801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448584 + ... + 448824.

It is an arithmetic number, because the mean of its divisors is an integer number (1997710).

Almost surely, 2^108137664 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 108137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167807640).

108137664 is an abundant number, since it is smaller than the sum of its proper divisors (227477616).

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

108137664 is a wasteful number, since it uses less digits than its factorization.

108137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 108137664 is about 10398.9260984007. The cubic root of 108137664 is about 476.4225703997.

It can be divided in two parts, 108137 and 664, that added together give a palindrome (108801).

The spelling of 108137664 in words is "one hundred eight million, one hundred thirty-seven thousand, six hundred sixty-four".