108589860 has 72 divisors (see below), whose sum is σ = 330515640. Its totient is φ = 28858368.

The previous prime is 108589849. The next prime is 108589861. The reversal of 108589860 is 68985801.

108589860 is a `hidden beast` number, since 1 + 0 + 8 + 589 + 8 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 107371044 = 1104^2 + 10362^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108589861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62686 + ... + 64394.

It is an arithmetic number, because the mean of its divisors is an integer number (4590495).

Almost surely, 2^108589860 is an apocalyptic number.

108589860 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 108589860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165257820).

108589860 is an abundant number, since it is smaller than the sum of its proper divisors (221925780).

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

108589860 is a wasteful number, since it uses less digits than its factorization.

108589860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 108589860 is about 10420.6458533049. The cubic root of 108589860 is about 477.0857275082.

The spelling of 108589860 in words is "one hundred eight million, five hundred eighty-nine thousand, eight hundred sixty".