108538164 has 48 divisors (see below), whose sum is σ = 321596800. Its totient is φ = 31010688.

The previous prime is 108538163. The next prime is 108538211. The reversal of 108538164 is 461835801.

108538164 is a `hidden beast` number, since 108 + 538 + 16 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108538163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71029 + ... + 72540.

Almost surely, 2^108538164 is an apocalyptic number.

108538164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

108538164 is an abundant number, since it is smaller than the sum of its proper divisors (213058636).

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

108538164 is a wasteful number, since it uses less digits than its factorization.

108538164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143589 (or 143581 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 108538164 is about 10418.1650975592. The cubic root of 108538164 is about 477.0100073056.

The spelling of 108538164 in words is "one hundred eight million, five hundred thirty-eight thousand, one hundred sixty-four".