As a chemistry major (fun, amirite?), I decided to look into why my hands hurt like h.ell by the end of a shift.
Quats: Quaternary Ammonium Cation solutions.
Quaternary ammonium compounds can display a range of health effects, amongst which are mild skin and respiratory irritation  up to severe caustic burns on skin and gastro-intestinal lining (depending on concentration), gastro-intestinal symptoms (e.g., nausea and vomiting), coma, convulsions, hypotension and death.
Chlorine: some stores, apparently, use some compound of Chlorine in sanitizer buckets, and is in Spirit Liquid Disinfectant and Restroom Cleaner
This stuff contains basic (pH 11.0) chemicals which, I believe, will cause mild saponification of oils on the surface of skin. Causing severe dehydration of the cells. It also contains Trisodium Nitrilotriacetate, which, as the MSDS sheet lists, is a known carcinogen. Mmm! Cancer!
Please wear gloves.