100328512000 has 160 divisors (see below), whose sum is σ = 263345734080. Its totient is φ = 38018764800.

The previous prime is 100328511989. The next prime is 100328512013. The reversal of 100328512000 is 215823001.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174747 + ... + 1257253.

It is an arithmetic number, because the mean of its divisors is an integer number (1645910838).

Almost surely, 2^100328512000 is an apocalyptic number.

100328512000 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 100328512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131672867040).

100328512000 is an abundant number, since it is smaller than the sum of its proper divisors (163017222080).

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

100328512000 is an frugal number, since it uses more digits than its factorization.

100328512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82559 (or 82533 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 100328512000 in words is "one hundred billion, three hundred twenty-eight million, five hundred twelve thousand".