Undescriptive capacitor and inductor values in audio-amp datasheet
To my surprise, the example circuits feature some values for
  capacitors and inductors which seem a bit high for me. So I wanted to
  ask if I was missing something or if these components are somehow
  special and are really meant to have such high values.


Almost certainly the character "\$\mu\$" is failing to be displayed on the PDF document that you used. Try digging a bit deeper on the ST website to see if there are any other references that do use the \$\mu\$ character.

For instance here's a schematic that does show the rogue character: -



Taken from ST's page here.