100893730319520 has 384 divisors, whose sum is σ = 336121579487232. Its totient is φ = 25398066585600.

The previous prime is 100893730319509. The next prime is 100893730319539. The reversal of 100893730319520 is 25913037398001.

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 63 ways as a sum of consecutive naturals, for example, 7032384987 + ... + 7032399333.

It is an arithmetic number, because the mean of its divisors is an integer number (875316613248).

Almost surely, 2^{100893730319520} is an apocalyptic number.

100893730319520 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 100893730319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168060789743616).

100893730319520 is an abundant number, since it is smaller than the sum of its proper divisors (235227849167712).

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

100893730319520 is a wasteful number, since it uses less digits than its factorization.

100893730319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25964 (or 25956 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 100893730319520 in words is "one hundred trillion, eight hundred ninety-three billion, seven hundred thirty million, three hundred nineteen thousand, five hundred twenty".