100058745696 has 576 divisors, whose sum is σ = 336019622400. Its totient is φ = 25516228608.

The previous prime is 100058745643. The next prime is 100058745719. The reversal of 100058745696 is 696547850001.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730355740 + ... + 730355876.

It is an arithmetic number, because the mean of its divisors is an integer number (583367400).

Almost surely, 2^100058745696 is an apocalyptic number.

100058745696 is a gapful number since it is divisible by the number (16) 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 100058745696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168009811200).

100058745696 is an abundant number, since it is smaller than the sum of its proper divisors (235960876704).

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

100058745696 is a wasteful number, since it uses less digits than its factorization.

100058745696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 100058745696 in words is "one hundred billion, fifty-eight million, seven hundred forty-five thousand, six hundred ninety-six".