How many lithium atoms is 0.106 mole of lithium?

Remember the Avogadro Number.

1 moles = 6.022 x 10^(23) atoms/molecules.

So for 0.106 moles lithium it is

0.106 X 6.022 x 10^(23) = 6.38 x 10^(22) atoms (Li).

or stringing it out

6,380,000,000,000,000,000,000 atoms