102705409 has 2 divisors, whose sum is σ = 102705410. Its totient is φ = 102705408.

The previous prime is 102705401. The next prime is 102705437. The reversal of 102705409 is 904507201.

It is a happy number.

It is an a-pointer prime, because the next prime (102705437) can be obtained adding 102705409 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 39025009 = 7980^2 + 6247^2 .

It is a cyclic number.

It is not a de Polignac number, because 102705409 - 2³ = 102705401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102705401) 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, 51352704 + 51352705.

It is an arithmetic number, because the mean of its divisors is an integer number (51352705).

Almost surely, 2^102705409 is an apocalyptic number.

It is an amenable number.

102705409 is a deficient number, since it is larger than the sum of its proper divisors (1).

102705409 is an equidigital number, since it uses as much as digits as its factorization.

102705409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 102705409 is about 10134.3677158469. The cubic root of 102705409 is about 468.3074917529.

The spelling of 102705409 in words is "one hundred two million, seven hundred five thousand, four hundred nine".