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According to an article I read, there are 4,416 [main] cities in the world which are known. 
The answer may vary as per your defination of city
as per the un report published in 2015
thet said that there are nearly about 191 or 192 countries in the world and each country has approx. 250-300 cities so approx 48000 cities
we have 4037 cities in the whole world and more than 100,000 people in the whole world........