grammar - Could I use these constructions(some of, any of, all of, enough of, half of, more of, much of, many of, most of) with singular noun?

I'm ESL student and I wonder if I can use these constructions(all of, some of, any of, half of, enough of, more of, most of, many of, much of) with singular noun because I was taught that these constructions come with singular or uncountable noun?

I've found some uses of these construction with singular noun on internet, for example

• all of me


• some of him


• any of this


• more of me

And etc.

I'm not certain if these are correct and if so, I would appreciate you so much if you will explain meaning each of these as aspect of combing with singular noun.

If anyone has known the book which breaks down about usage of these constructions , please recommend it to me and I will appreciate you very much.

PS : I'm sorry in advanced if my message makes you confused or annoyed and thank you for useful answer.