Well, a 40106 is a synchronous binary counter, not a gate, so I wouldn't expect it to work, why would you? Do you ever look at the characteristics of the IC you are trying to use before putting it in the circuit? Random electronic design does not work well. If you can't be bothered to look at the data sheet for the IC you are using, then any attempt to help you is rather wasted.
Look for 4069 in the CMOS digital parts list.
I was referring to the impedance of the resistors at the input to the gate, not the gate impedance, which of course you can't control.