105780717661 has 2 divisors, whose sum is σ = 105780717662. Its totient is φ = 105780717660.

The previous prime is 105780717617. The next prime is 105780717701. The reversal of 105780717661 is 166717087501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84292089561 + 21488628100 = 290331^2 + 146590^2 .

It is an emirp because it is prime and its reverse (166717087501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105780717661 - 2¹⁷ = 105780586589 is a prime.

It is a super-2 number, since 2×105780717661² (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 (105780117661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52890358830 + 52890358831.

It is an arithmetic number, because the mean of its divisors is an integer number (52890358831).

Almost surely, 2^105780717661 is an apocalyptic number.

It is an amenable number.

105780717661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105780717661 is an equidigital number, since it uses as much as digits as its factorization.

105780717661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920, while the sum is 49.

The spelling of 105780717661 in words is "one hundred five billion, seven hundred eighty million, seven hundred seventeen thousand, six hundred sixty-one".