105208308661 has 2 divisors, whose sum is σ = 105208308662. Its totient is φ = 105208308660.

The previous prime is 105208308643. The next prime is 105208308671. The reversal of 105208308661 is 166803802501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69598354225 + 35609954436 = 263815^2 + 188706^2 .

It is a cyclic number.

It is not a de Polignac number, because 105208308661 - 2⁷ = 105208308533 is a prime.

It is a super-2 number, since 2×105208308661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105208308671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52604154330 + 52604154331.

It is an arithmetic number, because the mean of its divisors is an integer number (52604154331).

Almost surely, 2^105208308661 is an apocalyptic number.

It is an amenable number.

105208308661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105208308661 is an equidigital number, since it uses as much as digits as its factorization.

105208308661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 105208308661 in words is "one hundred five billion, two hundred eight million, three hundred eight thousand, six hundred sixty-one".