Is there a proposed name for 1e-4 bitcoins? One satoshi is 1e-8 bitcoins. Given that, it appears to me very convenient to have a name for 1e-4 bitcoins, and I'm wondering if someone already proposed or started using a name for that.

(the SI doesn't have a name for that, being m=1e-3 and µ=1e-6...)
Well, a thousand grams is a kilogram.   A thousand sats (Satoshis) is a kilosat.  So 10,000 sats would be ten kilosats.   Maybe that would work.

This assumes when that is needed we are moving away from fractions of a bitcoin and moving towards multiples of Satoshis.

There was also proposal to call it a milray.  And a number of votes were cast for calling it a lilbit (as in Littlebit).

When a name is found, the entry for it in the FAQ should get updated.