100379830967520 has 96 divisors (see below), whose sum is σ = 340519272764832. Its totient is φ = 24708881467392.

The previous prime is 100379830967513. The next prime is 100379830967557. The reversal of 100379830967520 is 25769038973001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100379830967520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 8043249447 + ... + 8043261926.

It is an arithmetic number, because the mean of its divisors is an integer number (3547075757967).

Almost surely, 2^{100379830967520} is an apocalyptic number.

100379830967520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100379830967520 is an abundant number, since it is smaller than the sum of its proper divisors (240139441797312).

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

100379830967520 is a wasteful number, since it uses less digits than its factorization.

100379830967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16086511404 (or 16086511396 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 60.

The spelling of 100379830967520 in words is "one hundred trillion, three hundred seventy-nine billion, eight hundred thirty million, nine hundred sixty-seven thousand, five hundred twenty".