105677609 has 2 divisors, whose sum is σ = 105677610. Its totient is φ = 105677608.

The previous prime is 105677599. The next prime is 105677641. The reversal of 105677609 is 906776501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56957209 + 48720400 = 7547^2 + 6980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105677609 is a prime.

It is a super-2 number, since 2×105677609² = 22335514087913762, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105677659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52838804 + 52838805.

It is an arithmetic number, because the mean of its divisors is an integer number (52838805).

Almost surely, 2^105677609 is an apocalyptic number.

It is an amenable number.

105677609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105677609 is an equidigital number, since it uses as much as digits as its factorization.

105677609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 105677609 is about 10279.9615271654. The cubic root of 105677609 is about 472.7820646314.

The spelling of 105677609 in words is "one hundred five million, six hundred seventy-seven thousand, six hundred nine".