105059972505569 has 2 divisors, whose sum is σ = 105059972505570. Its totient is φ = 105059972505568.

The previous prime is 105059972505541. The next prime is 105059972505617. The reversal of 105059972505569 is 965505279950501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86296668160000 + 18763304345569 = 9289600^2 + 4331663^2 .

It is an emirp because it is prime and its reverse (965505279950501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105059972505569 is a prime.

It is a super-2 number, since 2×105059972505569² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105059972505499 and 105059972505508.

It is not a weakly prime, because it can be changed into another prime (105059972505269) 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, 52529986252784 + 52529986252785.

It is an arithmetic number, because the mean of its divisors is an integer number (52529986252785).

Almost surely, 2^{105059972505569} is an apocalyptic number.

It is an amenable number.

105059972505569 is a deficient number, since it is larger than the sum of its proper divisors (1).

105059972505569 is an equidigital number, since it uses as much as digits as its factorization.

105059972505569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 191362500, while the sum is 68.

The spelling of 105059972505569 in words is "one hundred five trillion, fifty-nine billion, nine hundred seventy-two million, five hundred five thousand, five hundred sixty-nine".