105577669 has 2 divisors, whose sum is σ = 105577670. Its totient is φ = 105577668.

The previous prime is 105577663. The next prime is 105577673. The reversal of 105577669 is 966775501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82901025 + 22676644 = 9105^2 + 4762^2 .

It is an emirp because it is prime and its reverse (966775501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105577669 - 2⁷ = 105577541 is a prime.

It is a super-2 number, since 2×105577669² = 22293288382947122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105577663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52788834 + 52788835.

It is an arithmetic number, because the mean of its divisors is an integer number (52788835).

Almost surely, 2^105577669 is an apocalyptic number.

It is an amenable number.

105577669 is a deficient number, since it is larger than the sum of its proper divisors (1).

105577669 is an equidigital number, since it uses as much as digits as its factorization.

105577669 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 105577669 is about 10275.0994642388. The cubic root of 105577669 is about 472.6329799368.

The spelling of 105577669 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred sixty-nine".