106593209 has 2 divisors, whose sum is σ = 106593210. Its totient is φ = 106593208.

The previous prime is 106593167. The next prime is 106593233. The reversal of 106593209 is 902395601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76177984 + 30415225 = 8728^2 + 5515^2 .

It is a cyclic number.

It is not a de Polignac number, because 106593209 - 2¹² = 106589113 is a prime.

It is a super-3 number, since 3×106593209³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106593269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53296604 + 53296605.

It is an arithmetic number, because the mean of its divisors is an integer number (53296605).

Almost surely, 2^106593209 is an apocalyptic number.

It is an amenable number.

106593209 is a deficient number, since it is larger than the sum of its proper divisors (1).

106593209 is an equidigital number, since it uses as much as digits as its factorization.

106593209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 106593209 is about 10324.3987234124. The cubic root of 106593209 is about 474.1435484803.

The spelling of 106593209 in words is "one hundred six million, five hundred ninety-three thousand, two hundred nine".