105321677 has 2 divisors, whose sum is σ = 105321678. Its totient is φ = 105321676.

The previous prime is 105321673. The next prime is 105321679. The reversal of 105321677 is 776123501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67141636 + 38180041 = 8194^2 + 6179^2 .

It is a cyclic number.

It is not a de Polignac number, because 105321677 - 2² = 105321673 is a prime.

It is a super-2 number, since 2×105321677² = 22185311292184658, which contains 22 as substring.

Together with 105321679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105321673) 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, 52660838 + 52660839.

It is an arithmetic number, because the mean of its divisors is an integer number (52660839).

Almost surely, 2^105321677 is an apocalyptic number.

It is an amenable number.

105321677 is a deficient number, since it is larger than the sum of its proper divisors (1).

105321677 is an equidigital number, since it uses as much as digits as its factorization.

105321677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 105321677 is about 10262.6349930220. The cubic root of 105321677 is about 472.2506762975.

The spelling of 105321677 in words is "one hundred five million, three hundred twenty-one thousand, six hundred seventy-seven".