100091476521960 has 512 divisors, whose sum is σ = 386486658662400. Its totient is φ = 20125123200000.

The previous prime is 100091476521941. The next prime is 100091476521961. The reversal of 100091476521960 is 69125674190001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100091476521961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4399420585 + ... + 4399443335.

It is an arithmetic number, because the mean of its divisors is an integer number (754856755200).

Almost surely, 2^{100091476521960} is an apocalyptic number.

100091476521960 is a gapful number since it is divisible by the number (10) 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 100091476521960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193243329331200).

100091476521960 is an abundant number, since it is smaller than the sum of its proper divisors (286395182140440).

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

100091476521960 is a wasteful number, since it uses less digits than its factorization.

100091476521960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38173 (or 38169 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 100091476521960 in words is "one hundred trillion, ninety-one billion, four hundred seventy-six million, five hundred twenty-one thousand, nine hundred sixty".