Are cats often allergic to dish soap/detergent?

Im not going to bathe my cat, but my family found one of those carpet-covered cat houses in from of someones front lawn [its garbage day today] and we were going to wash the house as to prevent germs and such from getting to our indoor cats. We were planning to hose it down and use soap to wash it with, but would it be safe to use dish soap to wash it with?