105849769931 has 2 divisors, whose sum is σ = 105849769932. Its totient is φ = 105849769930.

The previous prime is 105849769889. The next prime is 105849769957. The reversal of 105849769931 is 139967948501.

It is a strong prime.

It is an emirp because it is prime and its reverse (139967948501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105849769931 - 2¹⁸ = 105849507787 is a prime.

It is a super-2 number, since 2×105849769931² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105849769031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52924884965 + 52924884966.

It is an arithmetic number, because the mean of its divisors is an integer number (52924884966).

Almost surely, 2^105849769931 is an apocalyptic number.

105849769931 is a deficient number, since it is larger than the sum of its proper divisors (1).

105849769931 is an equidigital number, since it uses as much as digits as its factorization.

105849769931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14696640, while the sum is 62.

The spelling of 105849769931 in words is "one hundred five billion, eight hundred forty-nine million, seven hundred sixty-nine thousand, nine hundred thirty-one".