Alright, using the EPC, it looks like I have it down to two possible part numbers:

124 820 08 12
or
124 820 27 12

I am going to see if I can find a part number on the part itself again, my initial search turned up nothing, but I will give it a closer inspection.

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2006 BMW M5 "Heidi" @ 109,000 miles
2005 MBZ C55 AMG "Lorelai" @ 165,000 miles
1991 MBZ 300E "Benzachino II" @ 165,000 miles
1990 MBZ 500SL "Shoshanna" @ 118,000 miles

(On the hunt for a good used M103 engine as of 6/10/23, PM me if you have one to sell!)