105321121620504 has 32 divisors (see below), whose sum is σ = 267232696653120. Its totient is φ = 34583054859936.

The previous prime is 105321121620487. The next prime is 105321121620551. The reversal of 105321121620504 is 405026121123501.

105321121620504 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-2 number, since 2×105321121620504² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32749103374 + ... + 32749106589.

It is an arithmetic number, because the mean of its divisors is an integer number (8351021770410).

Almost surely, 2^{105321121620504} is an apocalyptic number.

It is an amenable number.

105321121620504 is an abundant number, since it is smaller than the sum of its proper divisors (161911575032616).

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

105321121620504 is a wasteful number, since it uses less digits than its factorization.

105321121620504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65498210039 (or 65498210035 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105321121620504 in words is "one hundred five trillion, three hundred twenty-one billion, one hundred twenty-one million, six hundred twenty thousand, five hundred four".