108605952 has 360 divisors, whose sum is σ = 403278876. Its totient is φ = 27869184.

The previous prime is 108605929. The next prime is 108605993. The reversal of 108605952 is 259506801.

It is a happy number.

108605952 is a `hidden beast` number, since 1 + 0 + 8 + 60 + 595 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108493056 + 112896 = 10416^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2935278 + ... + 2935314.

Almost surely, 2^108605952 is an apocalyptic number.

108605952 is a gapful number since it is divisible by the number (12) 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 108605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201639438).

108605952 is an abundant number, since it is smaller than the sum of its proper divisors (294672924).

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

108605952 is a wasteful number, since it uses less digits than its factorization.

108605952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 108605952 is about 10421.4179457500. The cubic root of 108605952 is about 477.1092928894.

The spelling of 108605952 in words is "one hundred eight million, six hundred five thousand, nine hundred fifty-two".