105161510617 has 2 divisors, whose sum is σ = 105161510618. Its totient is φ = 105161510616.

The previous prime is 105161510611. The next prime is 105161510687. The reversal of 105161510617 is 716015161501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103485099481 + 1676411136 = 321691^2 + 40944^2 .

It is a cyclic number.

It is not a de Polignac number, because 105161510617 - 2²⁷ = 105027292889 is a prime.

It is a super-2 number, since 2×105161510617² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105161510611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52580755308 + 52580755309.

It is an arithmetic number, because the mean of its divisors is an integer number (52580755309).

Almost surely, 2^105161510617 is an apocalyptic number.

It is an amenable number.

105161510617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105161510617 is an equidigital number, since it uses as much as digits as its factorization.

105161510617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 34.

The spelling of 105161510617 in words is "one hundred five billion, one hundred sixty-one million, five hundred ten thousand, six hundred seventeen".