105942909731 has 2 divisors, whose sum is σ = 105942909732. Its totient is φ = 105942909730.

The previous prime is 105942909703. The next prime is 105942909733. The reversal of 105942909731 is 137909249501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105942909731 - 2³⁴ = 88763040547 is a prime.

It is a super-2 number, since 2×105942909731² (a number of 23 digits) contains 22 as substring.

Together with 105942909733, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105942909731.

It is not a weakly prime, because it can be changed into another prime (105942909733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52971454865 + 52971454866.

It is an arithmetic number, because the mean of its divisors is an integer number (52971454866).

Almost surely, 2^105942909731 is an apocalyptic number.

105942909731 is a deficient number, since it is larger than the sum of its proper divisors (1).

105942909731 is an equidigital number, since it uses as much as digits as its factorization.

105942909731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 612360, while the sum is 50.

The spelling of 105942909731 in words is "one hundred five billion, nine hundred forty-two million, nine hundred nine thousand, seven hundred thirty-one".