We take consecutive natural numbers Determine the last two digits of the number
%V0
We take $100$ consecutive natural numbers $a_{1},$ $a_{2},$ $...,$ $a_{100}.$ Determine the last two digits of the number $a_{1}^{8}+a_{2}^{8}+...+a_{100}^{8}.$
Izvor: Međunarodna matematička olimpijada, shortlist 1966
Školjka 
consecutive natural numbers 
Determine the last two digits of the number 