105115521339 has 32 divisors (see below), whose sum is σ = 161116876800. Its totient is φ = 67661749440.

The previous prime is 105115521307. The next prime is 105115521341. The reversal of 105115521339 is 933125511501.

105115521339 is a `hidden beast` number, since 1 + 0 + 511 + 5 + 5 + 2 + 133 + 9 = 666.

It is not a de Polignac number, because 105115521339 - 2⁵ = 105115521307 is a prime.

It is a super-2 number, since 2×105115521339² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105115521239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224407 + ... + 510479.

It is an arithmetic number, because the mean of its divisors is an integer number (5034902400).

Almost surely, 2^105115521339 is an apocalyptic number.

105115521339 is a deficient number, since it is larger than the sum of its proper divisors (56001355461).

105115521339 is a wasteful number, since it uses less digits than its factorization.

105115521339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286552 (or 286546 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The spelling of 105115521339 in words is "one hundred five billion, one hundred fifteen million, five hundred twenty-one thousand, three hundred thirty-nine".