105610605000517 has 2 divisors, whose sum is σ = 105610605000518. Its totient is φ = 105610605000516.

The previous prime is 105610605000499. The next prime is 105610605000533. The reversal of 105610605000517 is 715000506016501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61417174021921 + 44193430978596 = 7836911^2 + 6647814^2 .

It is a cyclic number.

It is not a de Polignac number, because 105610605000517 - 2¹¹ = 105610604998469 is a prime.

It is a super-2 number, since 2×105610605000517² (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 (105610605000547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805302500258 + 52805302500259.

It is an arithmetic number, because the mean of its divisors is an integer number (52805302500259).

Almost surely, 2^{105610605000517} is an apocalyptic number.

It is an amenable number.

105610605000517 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610605000517 is an equidigital number, since it uses as much as digits as its factorization.

105610605000517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 105610605000517 in words is "one hundred five trillion, six hundred ten billion, six hundred five million, five hundred seventeen", and thus it is an aban number.