102804809 has 2 divisors, whose sum is σ = 102804810. Its totient is φ = 102804808.

The previous prime is 102804803. The next prime is 102804811. The reversal of 102804809 is 908408201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60918025 + 41886784 = 7805^2 + 6472^2 .

It is a cyclic number.

It is not a de Polignac number, because 102804809 - 2²⁴ = 86027593 is a prime.

It is a Sophie Germain prime.

Together with 102804811, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_5913716 and since 102804809 and 5913716 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 (102804803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51402404 + 51402405.

It is an arithmetic number, because the mean of its divisors is an integer number (51402405).

Almost surely, 2^102804809 is an apocalyptic number.

It is an amenable number.

102804809 is a deficient number, since it is larger than the sum of its proper divisors (1).

102804809 is an equidigital number, since it uses as much as digits as its factorization.

102804809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 102804809 is about 10139.2706345180. The cubic root of 102804809 is about 468.4585216289.

The spelling of 102804809 in words is "one hundred two million, eight hundred four thousand, eight hundred nine".