100324689920 has 768 divisors, whose sum is σ = 321238794240. Its totient is φ = 29196288000.

The previous prime is 100324689917. The next prime is 100324689929. The reversal of 100324689920 is 29986423001.

It is not an unprimeable number, because it can be changed into a prime (100324689929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664401845 + ... + 664401995.

It is an arithmetic number, because the mean of its divisors is an integer number (418279680).

Almost surely, 2^100324689920 is an apocalyptic number.

100324689920 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 100324689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160619397120).

100324689920 is an abundant number, since it is smaller than the sum of its proper divisors (220914104320).

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

100324689920 is a wasteful number, since it uses less digits than its factorization.

100324689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 100324689920 in words is "one hundred billion, three hundred twenty-four million, six hundred eighty-nine thousand, nine hundred twenty".