108318960 has 240 divisors, whose sum is σ = 393689088. Its totient is φ = 26611200.

The previous prime is 108318953. The next prime is 108318979. The reversal of 108318960 is 69813801.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513255 + ... + 513465.

Almost surely, 2^108318960 is an apocalyptic number.

108318960 is a gapful number since it is divisible by the number (10) 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 108318960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196844544).

108318960 is an abundant number, since it is smaller than the sum of its proper divisors (285370128).

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

108318960 is a wasteful number, since it uses less digits than its factorization.

108318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 108318960 is about 10407.6395018275. The cubic root of 108318960 is about 476.6886672704.

It can be divided in two parts, 108318 and 960, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 108318960 in words is "one hundred eight million, three hundred eighteen thousand, nine hundred sixty".