108029952 has 72 divisors (see below), whose sum is σ = 312063570. Its totient is φ = 36003840.

The previous prime is 108029939. The next prime is 108029969. The reversal of 108029952 is 259920801.

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 14017536 = 9696^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 5 ways as a sum of consecutive naturals, for example, 15502 + ... + 21362.

Almost surely, 2^108029952 is an apocalyptic number.

108029952 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 108029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156031785).

108029952 is an abundant number, since it is smaller than the sum of its proper divisors (204033618).

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

108029952 is an equidigital number, since it uses as much as digits as its factorization.

108029952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 108029952 is about 10393.7458117851. The cubic root of 108029952 is about 476.2643354438.

The spelling of 108029952 in words is "one hundred eight million, twenty-nine thousand, nine hundred fifty-two".