100164333123040 has 48 divisors (see below), whose sum is σ = 236638989079920. Its totient is φ = 40065605913600.

The previous prime is 100164333123017. The next prime is 100164333123053. The reversal of 100164333123040 is 40321333461001.

It is a junction number, because it is equal to n+sod(n) for n = 100164333122993 and 100164333123011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61889251 + ... + 63487069.

It is an arithmetic number, because the mean of its divisors is an integer number (4929978939165).

Almost surely, 2^{100164333123040} is an apocalyptic number.

100164333123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100164333123040 is an abundant number, since it is smaller than the sum of its proper divisors (136474655956880).

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

100164333123040 is a wasteful number, since it uses less digits than its factorization.

100164333123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989635 (or 1989627 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 100164333123040 its reverse (40321333461001), we get a palindrome (140485666584041).

The spelling of 100164333123040 in words is "one hundred trillion, one hundred sixty-four billion, three hundred thirty-three million, one hundred twenty-three thousand, forty".