105705560561 has 2 divisors, whose sum is σ = 105705560562. Its totient is φ = 105705560560.

The previous prime is 105705560497. The next prime is 105705560581. The reversal of 105705560561 is 165065507501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96895860961 + 8809699600 = 311281^2 + 93860^2 .

It is a cyclic number.

It is not a de Polignac number, because 105705560561 - 2⁶ = 105705560497 is a prime.

It is a super-2 number, since 2×105705560561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105705560581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52852780280 + 52852780281.

It is an arithmetic number, because the mean of its divisors is an integer number (52852780281).

Almost surely, 2^105705560561 is an apocalyptic number.

It is an amenable number.

105705560561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105705560561 is an equidigital number, since it uses as much as digits as its factorization.

105705560561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157500, while the sum is 41.

The spelling of 105705560561 in words is "one hundred five billion, seven hundred five million, five hundred sixty thousand, five hundred sixty-one".