wow! impressive ,awesome,great! 
*lower jaw drops onto the floor*

The plane was designed in 1934 by Willy Messerchmitt, at the head of the Messerchmitt FlugzeugBau. But the plane was built by Bayerische Flugzeugwerke (BFW), Messerchmitt's production sister company. The plane code therefore started with "Bf", like all planes conceived by Messerchmitt at this period (like the Bf 108 Taifun or Bf 110 Zerstörer for example).
In 1938, to acknowledge the success of Messerchmitt's designs, the whole company was renamed Messerchmitt AG. The plane can therefore either be called "Bf 109" or "Me 109".
The Messerchmitt Bf 109 line is the World War 2 fighter with the greatest production numbers and lifespan; it was in production from 1937 to the fifties.

But if ya want to get technical the planes built from 1938 on are "ME"-109's