105660097 has 2 divisors, whose sum is σ = 105660098. Its totient is φ = 105660096.

The previous prime is 105660053. The next prime is 105660103. The reversal of 105660097 is 790066501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57093136 + 48566961 = 7556^2 + 6969^2 .

It is a cyclic number.

It is not a de Polignac number, because 105660097 - 2¹⁵ = 105627329 is a prime.

It is a super-2 number, since 2×105660097² = 22328112196098818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105660697) 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, 52830048 + 52830049.

It is an arithmetic number, because the mean of its divisors is an integer number (52830049).

Almost surely, 2^105660097 is an apocalyptic number.

It is an amenable number.

105660097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105660097 is an equidigital number, since it uses as much as digits as its factorization.

105660097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 105660097 is about 10279.1097377156. The cubic root of 105660097 is about 472.7559480398.

The spelling of 105660097 in words is "one hundred five million, six hundred sixty thousand, ninety-seven".