102109417 has 2 divisors, whose sum is σ = 102109418. Its totient is φ = 102109416.

The previous prime is 102109369. The next prime is 102109421. The reversal of 102109417 is 714901201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53890281 + 48219136 = 7341^2 + 6944^2 .

It is a cyclic number.

It is not a de Polignac number, because 102109417 - 2¹⁵ = 102076649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102109391 and 102109400.

It is not a weakly prime, because it can be changed into another prime (102109457) 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, 51054708 + 51054709.

It is an arithmetic number, because the mean of its divisors is an integer number (51054709).

Almost surely, 2^102109417 is an apocalyptic number.

It is an amenable number.

102109417 is a deficient number, since it is larger than the sum of its proper divisors (1).

102109417 is an equidigital number, since it uses as much as digits as its factorization.

102109417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 102109417 is about 10104.9204351148. The cubic root of 102109417 is about 467.3998824757.

The spelling of 102109417 in words is "one hundred two million, one hundred nine thousand, four hundred seventeen".