108939264 has 192 divisors, whose sum is σ = 353808000. Its totient is φ = 29097984.

The previous prime is 108939263. The next prime is 108939323. The reversal of 108939264 is 462939801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (108939263) 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, 731062 + ... + 731210.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^108939264 is an apocalyptic number.

108939264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

108939264 is an abundant number, since it is smaller than the sum of its proper divisors (244868736).

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

108939264 is a wasteful number, since it uses less digits than its factorization.

108939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 108939264 is about 10437.3973767410. The cubic root of 108939264 is about 477.5968777240.

The spelling of 108939264 in words is "one hundred eight million, nine hundred thirty-nine thousand, two hundred sixty-four".