I was reading the 135th Infantry Regiment (Minnesota National Guard) unit history for the North Africa campaign that can be found here http://34infdivassoc.org/images/135inf/135inf_gs4102.pdf and was curious about an enlisted Army Serial Number set that I had not seen before, 106XXXXX, that also does not seem to give a clue as to geographic area of entry into service as did most other serial numbers. Was this set used for a specific purpose? For reference, serial numbers 6000000 through 7099999 were assigned to Regular Army enlisted personnel who enlisted between 1919 and 1940; a part of the 207XXXXX series was assigned to Minnesota National Guard enlisted men in 1941, numbers 11000000 through 19999999 were assigned to voluntary enlistees based on corps area (2nd digit, 1st-9th) beginning in 1940, and 31000000 through 39999999 were assigned to draftees or voluntary inductees based on corps area (2nd digit, 1st-9th) beginning in 1940.
I'm not much of a fan of the Wiki, but this article does address your question, though may not entirely answer it: Service Number (US Army) WWII - Enlisted Men "The geographical codes were 10 1 (for Hawaii), 10 2 (for Panama), 10 3 (for the Philippines) and 10 4 (for Puerto Rico). The remaining number codes (5, 6, 7, 8, 9, and 0) were unassigned and used by various recruiting stations outside the United States." I checked some of the serial numbers in your PDF link. Most had place of Nativity and Residence of New York and place of Enlistment as "Undefined". One had place of Nativity as Hawaii and Residence as "U.S. At Large". They all had an Enlistment date of 1942. Also, they all seem to have Anglo-European or Northern European surnames. Possibly US citizens who enlisted while outside of the 48 states? Sorry for not having a more definitive answer for you.
I thin After doing some poking around using some of the individuals’ names with the “106XXXXX” series of serial numbers on newspapers.com, it would seem that this series might have been reserved for U.S. citizens who had enlisted in the Canadian Army, and were later formally tranferred to the U.S. Army, possibly while on the British Isles.