100993820230320 has 320 divisors, whose sum is σ = 323952797122560. Its totient is φ = 26000671334400.

The previous prime is 100993820230319. The next prime is 100993820230357. The reversal of 100993820230320 is 23032028399001.

100993820230320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8883257596 + ... + 8883268964.

It is an arithmetic number, because the mean of its divisors is an integer number (1012352491008).

Almost surely, 2^{100993820230320} is an apocalyptic number.

100993820230320 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 100993820230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161976398561280).

100993820230320 is an abundant number, since it is smaller than the sum of its proper divisors (222958976892240).

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

100993820230320 is a wasteful number, since it uses less digits than its factorization.

100993820230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14164 (or 14158 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 100993820230320 in words is "one hundred trillion, nine hundred ninety-three billion, eight hundred twenty million, two hundred thirty thousand, three hundred twenty".