105454312417 has 2 divisors, whose sum is σ = 105454312418. Its totient is φ = 105454312416.

The previous prime is 105454312391. The next prime is 105454312421. The reversal of 105454312417 is 714213454501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102961407376 + 2492905041 = 320876^2 + 49929^2 .

It is an emirp because it is prime and its reverse (714213454501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105454312417 - 2³¹ = 103306828769 is a prime.

It is a super-2 number, since 2×105454312417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105454310417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52727156208 + 52727156209.

It is an arithmetic number, because the mean of its divisors is an integer number (52727156209).

Almost surely, 2^105454312417 is an apocalyptic number.

It is an amenable number.

105454312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105454312417 is an equidigital number, since it uses as much as digits as its factorization.

105454312417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 105454312417 its reverse (714213454501), we get a palindrome (819667766918).

The spelling of 105454312417 in words is "one hundred five billion, four hundred fifty-four million, three hundred twelve thousand, four hundred seventeen".