Raven31 and Froggie, something's not quite in sync here. That's a five-digit serial number, not six, so if it is a .32 Hand Ejector it can't have been shipped later than 1907 or so. That's several years before the Regulation Police was introduced.
Based on the barrel length and caliber stamping, I'd think this has to be a .32 Hand Ejector, Model of 1903, Second Change. I'm a little confused by the last patent date on the barrel because I can't find a record of an I-frame patent date block that ends with that date.
There is one possibility here that is so unlikely that I almost hate to mention it, but could this be .32-20 Military & Police that was special ordered in .32 Long rather than .32 WCF? The .32 M&P Model of 1905, Second Change had a patent date block ending in Feb 06, 1906. They had their own serial number sequence that would have included the serial number mentioned.
Raven 31, can you post photos of your gun?
If not, can you at least answer a couple of questions: How long is the cylinder on your gun? If it is about 1.25 inches, it is an I-frame as Froggie suggested, but of somewhat earlier manufacture. If it is about 1.5", it is a larger K-frame revolver and you have a potentially valuable and rare revolver.
Does the gun have a fixed rear sight channel (groove in frame) or an adjustable rear sight (screws to permit elevation and side to side adjustment)?
ADDENDUM: Raven31, I should have said this first: Welcome to the forum. Sometimes I get so focused on the gun that I lose sight of the basic human courtesies.