100005809 has 2 divisors, whose sum is σ = 100005810. Its totient is φ = 100005808.

The previous prime is 100005757. The next prime is 100005821. The reversal of 100005809 is 908500001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84125584 + 15880225 = 9172^2 + 3985^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100005809 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100005889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50002904 + 50002905.

It is an arithmetic number, because the mean of its divisors is an integer number (50002905).

Almost surely, 2^100005809 is an apocalyptic number.

It is an amenable number.

100005809 is a deficient number, since it is larger than the sum of its proper divisors (1).

100005809 is an equidigital number, since it uses as much as digits as its factorization.

100005809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 100005809 is about 10000.2904457821. The cubic root of 100005809 is about 464.1678708504.

The spelling of 100005809 in words is "one hundred million, five thousand, eight hundred nine".