106085809 has 2 divisors, whose sum is σ = 106085810. Its totient is φ = 106085808.

The previous prime is 106085803. The next prime is 106085827. The reversal of 106085809 is 908580601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106028209 + 57600 = 10297^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 106085809 - 2¹³ = 106077617 is a prime.

It is a super-2 number, since 2×106085809² = 22508397742368962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106085803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53042904 + 53042905.

It is an arithmetic number, because the mean of its divisors is an integer number (53042905).

Almost surely, 2^106085809 is an apocalyptic number.

It is an amenable number.

106085809 is a deficient number, since it is larger than the sum of its proper divisors (1).

106085809 is an equidigital number, since it uses as much as digits as its factorization.

106085809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 106085809 is about 10299.7965513888. The cubic root of 106085809 is about 473.3900196057.

The spelling of 106085809 in words is "one hundred six million, eighty-five thousand, eight hundred nine".