100875317331660 has 288 divisors, whose sum is σ = 301902451361280. Its totient is φ = 25161279209472.

The previous prime is 100875317331641. The next prime is 100875317331707. The reversal of 100875317331660 is 66133713578001.

100875317331660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1956325039 + ... + 1956376601.

It is an arithmetic number, because the mean of its divisors is an integer number (1048272400560).

Almost surely, 2^{100875317331660} is an apocalyptic number.

100875317331660 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 100875317331660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150951225680640).

100875317331660 is an abundant number, since it is smaller than the sum of its proper divisors (201027134029620).

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

100875317331660 is a wasteful number, since it uses less digits than its factorization.

100875317331660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52305 (or 52286 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 100875317331660 in words is "one hundred trillion, eight hundred seventy-five billion, three hundred seventeen million, three hundred thirty-one thousand, six hundred sixty".