About 1/3 of an Amp, but that is a rough estimate. It could be twice that, or half that. However, I am fairly certain that it is more than 1/10 Amp and less than 1 Amp.
That is based on two things. The motor run capacitors are 6 and 4 uF, which will allow about 1/4 of an amp to flow at 120 V and 60 Hz. Also, the maximum cable resistance, from the table on the data sheet is about 20 ohms. If 1/3 amp flows, that gives voltage drop of 7 V, which isn't too bad at 120 V. It's unlikely to be more than 20 V, as that could start to give trouble, and there would be no point in specifying cable with a 2 V drop or less, as it would make users buy more expensive cable than was needed.