105055972451569 has 2 divisors, whose sum is σ = 105055972451570. Its totient is φ = 105055972451568.

The previous prime is 105055972451567. The next prime is 105055972451597. The reversal of 105055972451569 is 965154279550501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71896629139344 + 33159343312225 = 8479188^2 + 5758415^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055972451569 - 2¹ = 105055972451567 is a prime.

It is a super-2 number, since 2×105055972451569² (a number of 29 digits) contains 22 as substring.

Together with 105055972451567, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105055972451569.

It is not a weakly prime, because it can be changed into another prime (105055972451567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527986225784 + 52527986225785.

It is an arithmetic number, because the mean of its divisors is an integer number (52527986225785).

Almost surely, 2^{105055972451569} is an apocalyptic number.

It is an amenable number.

105055972451569 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055972451569 is an equidigital number, since it uses as much as digits as its factorization.

105055972451569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85050000, while the sum is 64.

The spelling of 105055972451569 in words is "one hundred five trillion, fifty-five billion, nine hundred seventy-two million, four hundred fifty-one thousand, five hundred sixty-nine".