100928382800 has 240 divisors, whose sum is σ = 283823738880. Its totient is φ = 33771271680.

The previous prime is 100928382787. The next prime is 100928382887. The reversal of 100928382800 is 8283829001.

It is a happy number.

100928382800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57771527 + ... + 57773273.

It is an arithmetic number, because the mean of its divisors is an integer number (1182598912).

Almost surely, 2^100928382800 is an apocalyptic number.

100928382800 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 100928382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141911869440).

100928382800 is an abundant number, since it is smaller than the sum of its proper divisors (182895356080).

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

100928382800 is a wasteful number, since it uses less digits than its factorization.

100928382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The spelling of 100928382800 in words is "one hundred billion, nine hundred twenty-eight million, three hundred eighty-two thousand, eight hundred".