105665629 has 2 divisors, whose sum is σ = 105665630. Its totient is φ = 105665628.

The previous prime is 105665597. The next prime is 105665641. The reversal of 105665629 is 926566501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53436100 + 52229529 = 7310^2 + 7227^2 .

It is a cyclic number.

It is not a de Polignac number, because 105665629 - 2⁵ = 105665597 is a prime.

It is a super-2 number, since 2×105665629² = 22330450303931282, which contains 22 as substring.

It is equal to p_6068686 and since 105665629 and 6068686 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 105665591 and 105665600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105665699) 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, 52832814 + 52832815.

It is an arithmetic number, because the mean of its divisors is an integer number (52832815).

Almost surely, 2^105665629 is an apocalyptic number.

It is an amenable number.

105665629 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665629 is an equidigital number, since it uses as much as digits as its factorization.

105665629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 105665629 is about 10279.3788236449. The cubic root of 105665629 is about 472.7641985220.

The spelling of 105665629 in words is "one hundred five million, six hundred sixty-five thousand, six hundred twenty-nine".