105768583513 has 2 divisors, whose sum is σ = 105768583514. Its totient is φ = 105768583512.

The previous prime is 105768583499. The next prime is 105768583523. The reversal of 105768583513 is 315385867501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103737458889 + 2031124624 = 322083^2 + 45068^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105768583513 is a prime.

It is a super-2 number, since 2×105768583513² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105768583523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52884291756 + 52884291757.

It is an arithmetic number, because the mean of its divisors is an integer number (52884291757).

Almost surely, 2^105768583513 is an apocalyptic number.

It is an amenable number.

105768583513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105768583513 is an equidigital number, since it uses as much as digits as its factorization.

105768583513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 105768583513 in words is "one hundred five billion, seven hundred sixty-eight million, five hundred eighty-three thousand, five hundred thirteen".