100790764032 has 320 divisors, whose sum is σ = 316092268800. Its totient is φ = 28525658112.

The previous prime is 100790764031. The next prime is 100790764097. The reversal of 100790764032 is 230467097001.

It is a super-2 number, since 2×100790764032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100790764031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59532978 + ... + 59534670.

It is an arithmetic number, because the mean of its divisors is an integer number (987788340).

Almost surely, 2^100790764032 is an apocalyptic number.

100790764032 is a gapful number since it is divisible by the number (12) 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 100790764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158046134400).

100790764032 is an abundant number, since it is smaller than the sum of its proper divisors (215301504768).

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

100790764032 is an equidigital number, since it uses as much as digits as its factorization.

100790764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 100790764032 in words is "one hundred billion, seven hundred ninety million, seven hundred sixty-four thousand, thirty-two".