106513742717 has 2 divisors, whose sum is σ = 106513742718. Its totient is φ = 106513742716.

The previous prime is 106513742677. The next prime is 106513742729. The reversal of 106513742717 is 717247315601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89030027641 + 17483715076 = 298379^2 + 132226^2 .

It is a cyclic number.

It is not a de Polignac number, because 106513742717 - 2¹⁸ = 106513480573 is a prime.

It is a super-2 number, since 2×106513742717² (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 (106513742747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53256871358 + 53256871359.

It is an arithmetic number, because the mean of its divisors is an integer number (53256871359).

Almost surely, 2^106513742717 is an apocalyptic number.

It is an amenable number.

106513742717 is a deficient number, since it is larger than the sum of its proper divisors (1).

106513742717 is an equidigital number, since it uses as much as digits as its factorization.

106513742717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 106513742717 in words is "one hundred six billion, five hundred thirteen million, seven hundred forty-two thousand, seven hundred seventeen".