108587008 has 48 divisors (see below), whose sum is σ = 223144740. Its totient is φ = 52789248.

The previous prime is 108586993. The next prime is 108587023. The reversal of 108587008 is 800785801.

It is an interprime number because it is at equal distance from previous prime (108586993) and next prime (108587023).

It can be written as a sum of positive squares in 2 ways, for example, as 91546624 + 17040384 = 9568^2 + 4128^2 .

It is a super-2 number, since 2×108587008² = 23582276612784128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75060 + ... + 76492.

Almost surely, 2^108587008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108587008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111572370).

108587008 is an abundant number, since it is smaller than the sum of its proper divisors (114557732).

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

108587008 is an equidigital number, since it uses as much as digits as its factorization.

108587008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 108587008 is about 10420.5090086809. The cubic root of 108587008 is about 477.0815507511.

The spelling of 108587008 in words is "one hundred eight million, five hundred eighty-seven thousand, eight".