108082032 has 80 divisors (see below), whose sum is σ = 301944960. Its totient is φ = 33198336.

The previous prime is 108082021. The next prime is 108082049. The reversal of 108082032 is 230280801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 108081993 and 108082011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32143 + ... + 35345.

It is an arithmetic number, because the mean of its divisors is an integer number (3774312).

Almost surely, 2^108082032 is an apocalyptic number.

108082032 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 108082032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150972480).

108082032 is an abundant number, since it is smaller than the sum of its proper divisors (193862928).

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

108082032 is a wasteful number, since it uses less digits than its factorization.

108082032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 108082032 is about 10396.2508626908. The cubic root of 108082032 is about 476.3408570051.

The spelling of 108082032 in words is "one hundred eight million, eighty-two thousand, thirty-two".