A Model 10-5 would not be stainless. They came in blue and nickel. I suspect yours is nickel plated.
If it is a nickel gun, do not use solvents that remove copper to clean the gun. Nickel plating has a copper underlay. If the underlay is attacked by the solvents, your finish is history.
The Model 10's history begins with the Smith & Wesson Model of 1899, then goes to the Model of 1902 and it's variations. It later became the Model of 1905, and underwent four significant engineering changes. It went to war as the Smith & Wesson Victory Model. During that time, it's name was the Military and Police revolver or M&P. With the assignment of model numbers in 1957, the M&P became the Model 10. It is still being produced today.
Here are a couple of my Model 10-5's to compare yours to.
This photo shows a brief pictorial history, starting with a Model of 1899.
Model of 1899
Pre-Depression M&P
Victory Model
Post-War M&P
Model 10
If you like, I'll move your thread to the more frequently traveled Revolver Forum so you will get even more responses. Enjoy your revolver. It is the ubiquitous Smith & Wesson, and it is a very capable and handy firearm.