105738516617 has 2 divisors, whose sum is σ = 105738516618. Its totient is φ = 105738516616.

The previous prime is 105738516601. The next prime is 105738516623. The reversal of 105738516617 is 716615837501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55686088441 + 50052428176 = 235979^2 + 223724^2 .

It is a cyclic number.

It is not a de Polignac number, because 105738516617 - 2⁴ = 105738516601 is a prime.

It is a super-2 number, since 2×105738516617² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105738516017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52869258308 + 52869258309.

It is an arithmetic number, because the mean of its divisors is an integer number (52869258309).

Almost surely, 2^105738516617 is an apocalyptic number.

It is an amenable number.

105738516617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105738516617 is an equidigital number, since it uses as much as digits as its factorization.

105738516617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1058400, while the sum is 50.

The spelling of 105738516617 in words is "one hundred five billion, seven hundred thirty-eight million, five hundred sixteen thousand, six hundred seventeen".