Hi Pam,
Try searching online “1906 Indian Head Cent plus arrowhead” or “1906 Indian Head Penny plus arrowhead”, or even just search for the coin without the arrowhead.
If they are in some kind of a display together, try to add the company that put them together to your search. If you don’t find any matches for yours try again in a few months or a year or two later.
Looks like you won’t be able to retire off of either, but you have to determine what the condition of your Indian Head Cent is before you can determine its value. Try looking at pictures of them being sold online to narrow down what condition yours is in. If you cannot find one that looks in the same condition as yours look for one that looks a bit better than yours and one that looks a bit worse than yours to determine yours is worth something in between those two. Make sure the picture is an exact match for your coin. Even what you might consider a small difference in the picture (different year, mint mark, etc.) means it does not apply to yours. Looks like Indian Head Cents normally sell for as little as $1 to over $1000 for the rarest in the best condition (probably not yours). 1906 was the second highest mintage of the entire series so yours probably isn’t worth very much unless it has an error on it (unlikely). You would have to research what errors (search “Indian Head Cent errors”) occurred in what years and whether yours is possibly one of them.
I saw one auction site online sold 4 cents (one was a 1906) and 1 arrowhead together in 2021, but it did not list the selling price, only the starting bid of $10.

definitely

I thought the same. If it’s uncirculated, a proof must look spectacular.

I also have a Hawaiian dime and quarter. Still trying to get the half dollar and dollar.

Yes, I only have 1857 and 1858 Flying Eagle CENTS. In well worn condition. When you collect, you try to collect everything. No half cents, two cents, nickel three cents, nickels prior to the Buffalo and no twenty cents, though I’ve seen one. I have a complete set from 1840. I thought it would be fun to try to have one. Reason it’s 1840, that was the first year of the circulating silver dollar.

Kind of like the 1974 and 1975 aluminum cents. I wouldn’t mind having one. 🙂

A complete set of small cents in mint state condition. I’ve tried, the 1856 and some Indian Cent dates have eluded me. Ok, I’m missing a few pre-1930 Lincoln cents as well. Alright, and some recent dates from Philadelphia. I live west and so they’re not as common out here.

Sometimes they’re at a coin show. To LOOK at, not touch.