105050555555609 has 2 divisors, whose sum is σ = 105050555555610. Its totient is φ = 105050555555608.

The previous prime is 105050555555579. The next prime is 105050555555611. The reversal of 105050555555609 is 906555555050501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86581164010000 + 18469391545609 = 9304900^2 + 4297603^2 .

It is a cyclic number.

It is not a de Polignac number, because 105050555555609 - 2⁸ = 105050555555353 is a prime.

It is a super-2 number, since 2×105050555555609² (a number of 29 digits) contains 22 as substring.

Together with 105050555555611, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105050555555509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525277777804 + 52525277777805.

It is an arithmetic number, because the mean of its divisors is an integer number (52525277777805).

Almost surely, 2^{105050555555609} is an apocalyptic number.

It is an amenable number.

105050555555609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105050555555609 is an equidigital number, since it uses as much as digits as its factorization.

105050555555609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21093750, while the sum is 56.

The spelling of 105050555555609 in words is "one hundred five trillion, fifty billion, five hundred fifty-five million, five hundred fifty-five thousand, six hundred nine".