105356565311 has 16 divisors (see below), whose sum is σ = 110593228800. Its totient is φ = 100245600000.

The previous prime is 105356565299. The next prime is 105356565317. The reversal of 105356565311 is 113565653501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105356565311 - 2³⁰ = 104282823487 is a prime.

It is a super-2 number, since 2×105356565311² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105356565317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 495311 + ... + 675311.

It is an arithmetic number, because the mean of its divisors is an integer number (6912076800).

Almost surely, 2^105356565311 is an apocalyptic number.

105356565311 is a deficient number, since it is larger than the sum of its proper divisors (5236663489).

105356565311 is a wasteful number, since it uses less digits than its factorization.

105356565311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180350.

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 105356565311 in words is "one hundred five billion, three hundred fifty-six million, five hundred sixty-five thousand, three hundred eleven".