What are these bumps on my toe nails?

Deformity or fungus. Prior injury to the nail can cause it to be increasingly thickened and irregular overtime. Fungal infections of the nails can cause abnormalities as well. To help diagnose this properly, see a podiatrist or dermatologist.
Many possibilities. Some causes of abnormal nail growth include trauma, infection, side effects of medication, and possible systemic diseases such as psoriasis. Have them inspected by a professional to determine the cause of the problem, as treatment varies depending on the diagnosis.

Related Questions

My toenail on my big toe fell off but not fully? Just the top bit but the bottom of the original nail is still there and there's a weird bump???

Without seeing hard. to comment. Sometimes, the remaining portion of the toenail needs to be removed, othertimes it can be left....decision is based on pain, blood under nail, infection etc... Read more...
Keep calm and etc. Leave it alone. See if time will resolve the issue. There is nothing that can't be addressed at a later date. Read more...

My toenail came off and its growing back weirdly, the nail has a lump or bump in it, and it stops halfway on the toe?

Hard to say. It is hard to say without directly seeing it. The nail grows in part from the nail bed and so if the nail bed was injured, it may produce an abnormal shape to the nail. Consider being seen and thoroughly evaluated. Read more...
The root of it. When nails come off, they often grow back with some change in shape. What ever caused the nail to come off, may have damaged or stunted the nail root. The stunting has caused the nail to thicken or bump up. It is hard to predict how things will turn out. Seeing a foot specialist, can offer you a better evaluation and more accurate prognosis. A toe x-ray may be needed to check for bone damage. Read more...