105110783336731 has 2 divisors, whose sum is σ = 105110783336732. Its totient is φ = 105110783336730.

The previous prime is 105110783336623. The next prime is 105110783336743. The reversal of 105110783336731 is 137633387011501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105110783336731 - 2³⁹ = 104561027522843 is a prime.

It is a super-2 number, since 2×105110783336731² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105110783336791) 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 as a sum of consecutive naturals, namely, 52555391668365 + 52555391668366.

It is an arithmetic number, because the mean of its divisors is an integer number (52555391668366).

Almost surely, 2^{105110783336731} is an apocalyptic number.

105110783336731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105110783336731 is an equidigital number, since it uses as much as digits as its factorization.

105110783336731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 105110783336731 in words is "one hundred five trillion, one hundred ten billion, seven hundred eighty-three million, three hundred thirty-six thousand, seven hundred thirty-one".