105338417 has 2 divisors, whose sum is σ = 105338418. Its totient is φ = 105338416.

The previous prime is 105338393. The next prime is 105338419. The reversal of 105338417 is 714833501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105185536 + 152881 = 10256^2 + 391^2 .

It is an emirp because it is prime and its reverse (714833501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105338417 - 2⁸ = 105338161 is a prime.

It is a super-2 number, since 2×105338417² = 22192364192131778, which contains 22 as substring.

Together with 105338419, 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 (105338419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52669208 + 52669209.

It is an arithmetic number, because the mean of its divisors is an integer number (52669209).

Almost surely, 2^105338417 is an apocalyptic number.

It is an amenable number.

105338417 is a deficient number, since it is larger than the sum of its proper divisors (1).

105338417 is an equidigital number, since it uses as much as digits as its factorization.

105338417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 105338417 is about 10263.4505406320. The cubic root of 105338417 is about 472.2756950709.

The spelling of 105338417 in words is "one hundred five million, three hundred thirty-eight thousand, four hundred seventeen".