105332809 has 2 divisors, whose sum is σ = 105332810. Its totient is φ = 105332808.

The previous prime is 105332803. The next prime is 105332819. The reversal of 105332809 is 908233501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103469584 + 1863225 = 10172^2 + 1365^2 .

It is a cyclic number.

It is not a de Polignac number, because 105332809 - 2¹¹ = 105330761 is a prime.

It is a super-2 number, since 2×105332809² = 22190001303660962, which contains 22 as substring.

It is equal to p_6050695 and since 105332809 and 6050695 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105332803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52666404 + 52666405.

It is an arithmetic number, because the mean of its divisors is an integer number (52666405).

Almost surely, 2^105332809 is an apocalyptic number.

It is an amenable number.

105332809 is a deficient number, since it is larger than the sum of its proper divisors (1).

105332809 is an equidigital number, since it uses as much as digits as its factorization.

105332809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105332809 is about 10263.1773345295. The cubic root of 105332809 is about 472.2673139276.

The spelling of 105332809 in words is "one hundred five million, three hundred thirty-two thousand, eight hundred nine".