105697661 has 2 divisors, whose sum is σ = 105697662. Its totient is φ = 105697660.

The previous prime is 105697609. The next prime is 105697679. The reversal of 105697661 is 166796501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103652761 + 2044900 = 10181^2 + 1430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105697661 is a prime.

It is a super-2 number, since 2×105697661² = 22343991081741842, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105697561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52848830 + 52848831.

It is an arithmetic number, because the mean of its divisors is an integer number (52848831).

Almost surely, 2^105697661 is an apocalyptic number.

It is an amenable number.

105697661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105697661 is an equidigital number, since it uses as much as digits as its factorization.

105697661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 105697661 is about 10280.9367763838. The cubic root of 105697661 is about 472.8119657193.

The spelling of 105697661 in words is "one hundred five million, six hundred ninety-seven thousand, six hundred sixty-one".