105050567105 has 12 divisors (see below), whose sum is σ = 138562566996. Its totient is φ = 76400412000.

The previous prime is 105050567093. The next prime is 105050567117. The reversal of 105050567105 is 501765050501.

It is an interprime number because it is at equal distance from previous prime (105050567093) and next prime (105050567117).

It can be written as a sum of positive squares in 2 ways, for example, as 61933290496 + 43117276609 = 248864^2 + 207647^2 .

It is not a de Polignac number, because 105050567105 - 2¹⁴ = 105050550721 is a prime.

It is a super-2 number, since 2×105050567105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86818046 + ... + 86819255.

It is an arithmetic number, because the mean of its divisors is an integer number (11546880583).

Almost surely, 2^105050567105 is an apocalyptic number.

It is an amenable number.

105050567105 is a deficient number, since it is larger than the sum of its proper divisors (33511999891).

105050567105 is a wasteful number, since it uses less digits than its factorization.

105050567105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173637328 (or 173637317 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 35.

The spelling of 105050567105 in words is "one hundred five billion, fifty million, five hundred sixty-seven thousand, one hundred five".