108032303904000 has 864 divisors, whose sum is σ = 417646697360256. Its totient is φ = 24679315046400.

The previous prime is 108032303903969. The next prime is 108032303904079. The reversal of 108032303904000 is 409303230801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10127706667 + ... + 10127717333.

It is an arithmetic number, because the mean of its divisors is an integer number (483387381204).

Almost surely, 2^{108032303904000} is an apocalyptic number.

108032303904000 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 108032303904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208823348680128).

108032303904000 is an abundant number, since it is smaller than the sum of its proper divisors (309614393456256).

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

108032303904000 is a wasteful number, since it uses less digits than its factorization.

108032303904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12868 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 108032303904000 in words is "one hundred eight trillion, thirty-two billion, three hundred three million, nine hundred four thousand".