100816966109904 has 480 divisors, whose sum is σ = 295550308569600. Its totient is φ = 29578545638400.

The previous prime is 100816966109897. The next prime is 100816966109947. The reversal of 100816966109904 is 409901669618001.

100816966109904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100816966109904³ (a number of 43 digits) contains 333 as substring.

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, 9414222502 + ... + 9414233210.

It is an arithmetic number, because the mean of its divisors is an integer number (615729809520).

Almost surely, 2^{100816966109904} 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 100816966109904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147775154284800).

100816966109904 is an abundant number, since it is smaller than the sum of its proper divisors (194733342459696).

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

100816966109904 is a wasteful number, since it uses less digits than its factorization.

100816966109904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11215 (or 11198 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The spelling of 100816966109904 in words is "one hundred trillion, eight hundred sixteen billion, nine hundred sixty-six million, one hundred nine thousand, nine hundred four".