What is 1906 silver walking liberty on front eagle on back with no denomination value?

Please check your coin again. The Walking Liberty design was first used on half dollars dated 1916-1947, and then again on silver "eagle" bullion coins starting in 1986. Both of these coins have denominations, although the $1 value on the eagle coins is purely artificial.

You may have a replica, a fantasy piece, or a privately-manufactured item.