105397 has 2 divisors, whose sum is σ = 105398. Its totient is φ = 105396.

The previous prime is 105389. The next prime is 105401. The reversal of 105397 is 793501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 27556 = 279^2 + 166^2 .

It is a cyclic number.

It is not a de Polignac number, because 105397 - 2³ = 105389 is a prime.

It is a super-2 number, since 2×105397² = 22217055218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52698 + 52699.

It is an arithmetic number, because the mean of its divisors is an integer number (52699).

2¹⁰⁵³⁹⁷ is an apocalyptic number.

It is an amenable number.

105397 is a deficient number, since it is larger than the sum of its proper divisors (1).

105397 is an equidigital number, since it uses as much as digits as its factorization.

105397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 105397 is about 324.6490412738. The cubic root of 105397 is about 47.2363229453.

Adding to 105397 its reverse (793501), we get a palindrome (898898).

The spelling of 105397 in words is "one hundred five thousand, three hundred ninety-seven".