It's not like toilets are upholstered items, that can harbor all kinds of dust mites, germs, and the like. Toilets are almost entirely porcelain.
In fact, when I've needed to replace one, usually because its damaged, I would take the toilet outside, put a heavy junk rug over it, take a sledge hammer, and break it into small pieces that would fit into the garbage can. Other than a few pieces of metal (which are recyclable) its all breakable.
I appreciate all the interesting colors they've come in.
If one were really concerned about getting them clean, one could remove the tank from the base, take out the top rack of a dishwasher, and put each piece in, in separate loads. I don't think they would both fit at the same time.
Run it through a couple of times. And before running it through the dw, wipe, scrape, and otherwise, remove any caulking at the base, and the wax ring and remnants. You can really get a sterilized toilet this way.
As much MENTAL negativity goes into the typical persons thoughts about a toilet, they are primarily clean, basically holding water. When they are used, they typically are flushed clean right away.