105766262617549 has 2 divisors, whose sum is σ = 105766262617550. Its totient is φ = 105766262617548.

The previous prime is 105766262617513. The next prime is 105766262617567. The reversal of 105766262617549 is 945716262667501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90962952502500 + 14803310115049 = 9537450^2 + 3847507^2 .

It is a cyclic number.

It is not a de Polignac number, because 105766262617549 - 2¹¹ = 105766262615501 is a prime.

It is a super-2 number, since 2×105766262617549² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105766262617849) 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, 52883131308774 + 52883131308775.

It is an arithmetic number, because the mean of its divisors is an integer number (52883131308775).

Almost surely, 2^{105766262617549} is an apocalyptic number.

It is an amenable number.

105766262617549 is a deficient number, since it is larger than the sum of its proper divisors (1).

105766262617549 is an equidigital number, since it uses as much as digits as its factorization.

105766262617549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 228614400, while the sum is 67.

The spelling of 105766262617549 in words is "one hundred five trillion, seven hundred sixty-six billion, two hundred sixty-two million, six hundred seventeen thousand, five hundred forty-nine".