radioman148 said:100KW. You probably could hear it during the day if you didn't have a local.
This is a stretch! There is a relatively close station on 1050, 20 miles or so away, about 3kW omnidirectional. But it is fun to speculate theoretically if this would be possible.
About 900 miles, from Monterrey, NL, Mexico to Fort Walton Beach, FL, 200 miles of which are over land with a conductivity of 5* 50kW on the low end of the MW band goes about 500 miles over water, doubling the power may add another 50 miles radius, so 550 maybe 600 miles but the entire path is not over water! But this is around 540kHz, 1050 is nearly in the middle of the MW band, so the range is even less! Perhaps with a beverage antenna or a Box Loop aimed right at Monterrey, NL with a communications receiver but not a GE SuperRadio. Possibly 'critical hours' (2 hours after sunrise/ 2 hours before sunset especially in the winter months) but unlikely at high noon.
*http://www.geofisica.unam.mx/divulgacion/geofinternacional/iframes/anteriores/1999/03/delgado.pdf