108580864 has 78 divisors (see below), whose sum is σ = 253052754. Its totient is φ = 46448640.

The previous prime is 108580841. The next prime is 108580873. The reversal of 108580864 is 468085801.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 20070400 = 9408^2 + 4480^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200434 + ... + 200974.

Almost surely, 2^108580864 is an apocalyptic number.

108580864 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 108580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126526377).

108580864 is an abundant number, since it is smaller than the sum of its proper divisors (144471890).

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

108580864 is an frugal number, since it uses more digits than its factorization.

108580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 108580864 is about 10420.2142012533. The cubic root of 108580864 is about 477.0725526080.

The spelling of 108580864 in words is "one hundred eight million, five hundred eighty thousand, eight hundred sixty-four".