105485626417 has 2 divisors, whose sum is σ = 105485626418. Its totient is φ = 105485626416.

The previous prime is 105485626391. The next prime is 105485626427. The reversal of 105485626417 is 714626584501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104068179216 + 1417447201 = 322596^2 + 37649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105485626417 is a prime.

It is a super-2 number, since 2×105485626417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105485626427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52742813208 + 52742813209.

It is an arithmetic number, because the mean of its divisors is an integer number (52742813209).

Almost surely, 2^105485626417 is an apocalyptic number.

It is an amenable number.

105485626417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105485626417 is an equidigital number, since it uses as much as digits as its factorization.

105485626417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 105485626417 in words is "one hundred five billion, four hundred eighty-five million, six hundred twenty-six thousand, four hundred seventeen".