|That "gateway address" is the one your computer uses to send external (internet) traffic outside of your LAN. The "gateway" device (your router) is the door to the internet. |
When you attempt to connect to a website, the system sends that information to your SOHO router and it then forwards it to the internet. Returning traffic is routed to the appropriate computer, also by the router.
If you can't access the management interface on your router using the default gateway IP as seen in the output from the ipconfig command then you shouldn't have internet access.
I would recommend you get your router manual out and reset it to factory defaults. If you still can't access the router, I would then replace it.
It matters not how straight the gate,
How charged with punishments the scroll,
I am the master of my fate;
I am the captain of my soul.