100519813968 has 160 divisors (see below), whose sum is σ = 303730560000. Its totient is φ = 28054422528.

The previous prime is 100519813921. The next prime is 100519813981. The reversal of 100519813968 is 869318915001.

It is a super-2 number, since 2×100519813968² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100519813968.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2461783 + ... + 2502281.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316000).

Almost surely, 2^100519813968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100519813968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280000).

100519813968 is an abundant number, since it is smaller than the sum of its proper divisors (203210746032).

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

100519813968 is a wasteful number, since it uses less digits than its factorization.

100519813968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40689 (or 40683 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 100519813968 in words is "one hundred billion, five hundred nineteen million, eight hundred thirteen thousand, nine hundred sixty-eight".