Running CorFlags.exe against System.Data.SQLite.dll
from http://sqlite.phxsoftware.com/ produces the following output.
Version : v2.0.50727
CL
The System.Data.SQLite.dll file you are using is a mixed-mode assembly, which means it is not a pure .NET code (see also the “ILONLY : 0” flag), it contains also unmanaged machine code, which cannot be “Any CPU”. So, as the DLL contains 32-bit native code, it can be loaded only into 32-bit process, otherwise a BadImageFormatException occurs.