Ok, Flow's answer pushed me in right direction.
If you want to get rid of random numbers generated by server, set your Resource (between Domain and Password in Account settings). But be advised that it will still leave you with
martin.lukes@myserver.cz/
Better yet, set your Local alias in Account settings which will use this instead of anything mentioned above. Although I don't understand why isn't Pidgin automatically use fields from vCard (Full name, Name, Surname) if Local alias is empty. I will try to find if there is filed a bug and file it if isn't.