105968052831 has 16 divisors (see below), whose sum is σ = 142895080800. Its totient is φ = 69843383808.

The previous prime is 105968052811. The next prime is 105968052833. The reversal of 105968052831 is 138250869501.

It is a happy number.

It is not a de Polignac number, because 105968052831 - 2⁷ = 105968052703 is a prime.

It is a super-2 number, since 2×105968052831² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105968052833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966505 + ... + 3002013.

It is an arithmetic number, because the mean of its divisors is an integer number (8930942550).

Almost surely, 2^105968052831 is an apocalyptic number.

105968052831 is a deficient number, since it is larger than the sum of its proper divisors (36927027969).

105968052831 is a wasteful number, since it uses less digits than its factorization.

105968052831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46778.

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 105968052831 in words is "one hundred five billion, nine hundred sixty-eight million, fifty-two thousand, eight hundred thirty-one".