108329000 has 96 divisors (see below), whose sum is σ = 274917240. Its totient is φ = 39936000.

The previous prime is 108328991. The next prime is 108329003. The reversal of 108329000 is 923801.

It can be written as a sum of positive squares in 12 ways, for example, as 14122564 + 94206436 = 3758^2 + 9706^2 .

It is not an unprimeable number, because it can be changed into a prime (108329003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 168680 + ... + 169320.

Almost surely, 2^108329000 is an apocalyptic number.

108329000 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 108329000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137458620).

108329000 is an abundant number, since it is smaller than the sum of its proper divisors (166588240).

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

108329000 is a wasteful number, since it uses less digits than its factorization.

108329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 108329000 is about 10408.1218286490. The cubic root of 108329000 is about 476.7033947824.

The spelling of 108329000 in words is "one hundred eight million, three hundred twenty-nine thousand".