108958320 has 120 divisors (see below), whose sum is σ = 374944752. Its totient is φ = 28339200.

The previous prime is 108958319. The next prime is 108958349. The reversal of 108958320 is 23859801.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 27675 + ... + 31365.

Almost surely, 2^108958320 is an apocalyptic number.

108958320 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 108958320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187472376).

108958320 is an abundant number, since it is smaller than the sum of its proper divisors (265986432).

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

108958320 is a wasteful number, since it uses less digits than its factorization.

108958320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 108958320 is about 10438.3102080749. The cubic root of 108958320 is about 477.6247236850.

It can be divided in two parts, 108958 and 320, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 108958320 in words is "one hundred eight million, nine hundred fifty-eight thousand, three hundred twenty".