105738566581 has 2 divisors, whose sum is σ = 105738566582. Its totient is φ = 105738566580.

The previous prime is 105738566573. The next prime is 105738566683. The reversal of 105738566581 is 185665837501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73327765681 + 32410800900 = 270791^2 + 180030^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738566581 - 2³ = 105738566573 is a prime.

It is a super-2 number, since 2×105738566581² (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 (105738566881) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869283290 + 52869283291.

It is an arithmetic number, because the mean of its divisors is an integer number (52869283291).

Almost surely, 2^105738566581 is an apocalyptic number.

It is an amenable number.

105738566581 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738566581 is an equidigital number, since it uses as much as digits as its factorization.

105738566581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048000, while the sum is 55.

The spelling of 105738566581 in words is "one hundred five billion, seven hundred thirty-eight million, five hundred sixty-six thousand, five hundred eighty-one".