105523464617 has 2 divisors, whose sum is σ = 105523464618. Its totient is φ = 105523464616.

The previous prime is 105523464587. The next prime is 105523464619. The reversal of 105523464617 is 716464325501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73559745961 + 31963718656 = 271219^2 + 178784^2 .

It is an emirp because it is prime and its reverse (716464325501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105523464617 - 2¹² = 105523460521 is a prime.

It is a super-2 number, since 2×105523464617² (a number of 23 digits) contains 22 as substring.

Together with 105523464619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105523464619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761732308 + 52761732309.

It is an arithmetic number, because the mean of its divisors is an integer number (52761732309).

Almost surely, 2^105523464617 is an apocalyptic number.

It is an amenable number.

105523464617 is a deficient number, since it is larger than the sum of its proper divisors (1).

105523464617 is an equidigital number, since it uses as much as digits as its factorization.

105523464617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 105523464617 in words is "one hundred five billion, five hundred twenty-three million, four hundred sixty-four thousand, six hundred seventeen".