Ok, thank you for your replies.
Given your age, there is a good possibility that you have small warts on your hands. Warts are viral and spread very quickly. Usually they are skin colored, slightly raised and rough and do not cause any itching or pain.
Another possibility is that you have spots called "stucco keratosis", however, these spots are usually seen on the legs and in older people so I do not think that that's what you have. Stucco keratosis are whitish small spots, just 1-2 mm and they are also stuck on the skin.
I don't think these are bites because they don't bother you.
I would recommend that you see either a dermatologist or your primary care provider if they do not go away on their own within a couple of days.
I hope you find this information helpful. Please feel free to follow-up with any other questions you might have. I will be happy to assist you further.
Best wishes and good luck,