105365535991 has 2 divisors, whose sum is σ = 105365535992. Its totient is φ = 105365535990.

The previous prime is 105365535971. The next prime is 105365536079. The reversal of 105365535991 is 199535563501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105365535991 - 2⁹ = 105365535479 is a prime.

It is a super-2 number, since 2×105365535991² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105365535901) 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, 52682767995 + 52682767996.

It is an arithmetic number, because the mean of its divisors is an integer number (52682767996).

Almost surely, 2^105365535991 is an apocalyptic number.

105365535991 is a deficient number, since it is larger than the sum of its proper divisors (1).

105365535991 is an equidigital number, since it uses as much as digits as its factorization.

105365535991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2733750, while the sum is 52.

The spelling of 105365535991 in words is "one hundred five billion, three hundred sixty-five million, five hundred thirty-five thousand, nine hundred ninety-one".