
There is actually a thread on the the op. 106 metronome markings at Notat.io that might interest you.
As we all know, metronome markings are approximate at best and complex pieces of music like the first movement of op. 106 that have a lot of mood changes often have a fluctuating tempo. In my opinion Beethoven's marking is a precaution to tell players that the piece is to be played very rapidly and brilliantly rather than in a majestic way, since the opening can go either way. It might reach about 138 to the half note at its very fastest (for those with the ability to play the most brilliant passages at that tempo) and go down as much as 116 or slower at other moments. So it's not impossible to play the piece following his directions. One just has to consider some of the directions to be non-literal, the same way one usually considers metronome markings. The markings of the other movements are probably to be taken a more literally, and in my opinion, are exactly right for these movements.
The tragedy of it is that that first movement metronome marking seems to loom so large in pianist's minds that they tend to play the movement less musically that other pieces by Beethoven.