105723209 has 2 divisors, whose sum is σ = 105723210. Its totient is φ = 105723208.

The previous prime is 105723193. The next prime is 105723263. The reversal of 105723209 is 902327501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91623184 + 14100025 = 9572^2 + 3755^2 .

It is a cyclic number.

It is not a de Polignac number, because 105723209 - 2⁴ = 105723193 is a prime.

It is a super-2 number, since 2×105723209² = 22354793842515362, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105723269) 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, 52861604 + 52861605.

It is an arithmetic number, because the mean of its divisors is an integer number (52861605).

Almost surely, 2^105723209 is an apocalyptic number.

It is an amenable number.

105723209 is a deficient number, since it is larger than the sum of its proper divisors (1).

105723209 is an equidigital number, since it uses as much as digits as its factorization.

105723209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 105723209 is about 10282.1791950928. The cubic root of 105723209 is about 472.8500568397.

The spelling of 105723209 in words is "one hundred five million, seven hundred twenty-three thousand, two hundred nine".