105577673 has 2 divisors, whose sum is σ = 105577674. Its totient is φ = 105577672.

The previous prime is 105577669. The next prime is 105577691. The reversal of 105577673 is 376775501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90117049 + 15460624 = 9493^2 + 3932^2 .

It is an emirp because it is prime and its reverse (376775501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105577673 - 2² = 105577669 is a prime.

It is a super-2 number, since 2×105577673² = 22293290072189858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105577673.

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, 52788836 + 52788837.

It is an arithmetic number, because the mean of its divisors is an integer number (52788837).

Almost surely, 2^105577673 is an apocalyptic number.

It is an amenable number.

105577673 is a deficient number, since it is larger than the sum of its proper divisors (1).

105577673 is an equidigital number, since it uses as much as digits as its factorization.

105577673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 154350, while the sum is 41.

The square root of 105577673 is about 10275.0996588841. The cubic root of 105577673 is about 472.6329859057.

The spelling of 105577673 in words is "one hundred five million, five hundred seventy-seven thousand, six hundred seventy-three".