105055610500338 has 16 divisors (see below), whose sum is σ = 214997528466336. Its totient is φ = 34204152255840.

The previous prime is 105055610500301. The next prime is 105055610500361. The reversal of 105055610500338 is 833005016550501.

105055610500338 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105055610500338² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105055610500338.

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, 203596144123 + ... + 203596144638.

It is an arithmetic number, because the mean of its divisors is an integer number (13437345529146).

Almost surely, 2^{105055610500338} is an apocalyptic number.

105055610500338 is an abundant number, since it is smaller than the sum of its proper divisors (109941917965998).

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

105055610500338 is a wasteful number, since it uses less digits than its factorization.

105055610500338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407192288809.

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 105055610500338 in words is "one hundred five trillion, fifty-five billion, six hundred ten million, five hundred thousand, three hundred thirty-eight".