105097 has 2 divisors, whose sum is σ = 105098. Its totient is φ = 105096.

The previous prime is 105071. The next prime is 105107. The reversal of 105097 is 790501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 121 = 324^2 + 11^2 .

It is an emirp because it is prime and its reverse (790501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105097 - 2¹¹ = 103049 is a prime.

It is a super-2 number, since 2×105097² = 22090758818, which contains 22 as substring.

105097 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (105037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52548 + 52549.

It is an arithmetic number, because the mean of its divisors is an integer number (52549).

2¹⁰⁵⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

105097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105097 is an equidigital number, since it uses as much as digits as its factorization.

105097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 105097 is about 324.1866746182. The cubic root of 105097 is about 47.1914628340.

Adding to 105097 its reverse (790501), we get a palindrome (895598).

The spelling of 105097 in words is "one hundred five thousand, ninety-seven".