Funny things about the number 108

by G. Lathoud, September 2019

$108$ is a number reverred in the Yoga domain, and has some approximate properties:

Because of (2) and (3), during eclipses, sun and moon almost exactly overlap (here the value $108$ does not play so much a role as the equality between the two ratios).


Now, choosing a unit ($km/h$):

Prime decomposition, and "friends" of $108$

Further, look at the prime decomposition, $108=2^2 \cdot 3^3$. If feels like a series. Let's have a look at it:


Taking this all with a grain of salt, still, there are amazing coincidences around $108$, and its "friends". In any case I learned a few things.