105710100641 has 2 divisors, whose sum is σ = 105710100642. Its totient is φ = 105710100640.

The previous prime is 105710100631. The next prime is 105710100707. The reversal of 105710100641 is 146001017501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97609380625 + 8100720016 = 312425^2 + 90004^2 .

It is a cyclic number.

It is not a de Polignac number, because 105710100641 - 2¹⁰ = 105710099617 is a prime.

It is a super-2 number, since 2×105710100641² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105710100641.

It is not a weakly prime, because it can be changed into another prime (105710100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52855050320 + 52855050321.

It is an arithmetic number, because the mean of its divisors is an integer number (52855050321).

Almost surely, 2^105710100641 is an apocalyptic number.

It is an amenable number.

105710100641 is a deficient number, since it is larger than the sum of its proper divisors (1).

105710100641 is an equidigital number, since it uses as much as digits as its factorization.

105710100641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 26.

The spelling of 105710100641 in words is "one hundred five billion, seven hundred ten million, one hundred thousand, six hundred forty-one".