105697609 has 2 divisors, whose sum is σ = 105697610. Its totient is φ = 105697608.

The previous prime is 105697607. The next prime is 105697661. The reversal of 105697609 is 906796501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87609600 + 18088009 = 9360^2 + 4253^2 .

It is a cyclic number.

It is not a de Polignac number, because 105697609 - 2¹ = 105697607 is a prime.

It is a super-2 number, since 2×105697609² = 22343969096633762, which contains 22 as substring.

Together with 105697607, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105697607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52848804 + 52848805.

It is an arithmetic number, because the mean of its divisors is an integer number (52848805).

Almost surely, 2^105697609 is an apocalyptic number.

It is an amenable number.

105697609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105697609 is an equidigital number, since it uses as much as digits as its factorization.

105697609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 105697609 is about 10280.9342474310. The cubic root of 105697609 is about 472.8118881829.

The spelling of 105697609 in words is "one hundred five million, six hundred ninety-seven thousand, six hundred nine".