It may shock you that scandalous names such as "Microsoft Azure", "Imgur", "Photobucket", "Imageshack" also have to deal with large amounts of child pornography and that the name of the file host has little to do with it, the mere existence of a file host is all it takes.
I also incur zero administrative costs from dealing with anything because I don't allow anyone to upload to my website (and never have). If you have a free file host, you will be dealing with child pornography within a few weeks, almost guaranteed. There are systems made to automatically deal with known/"common" images [0] [1]. Also to clear up a few things regarding the name, the domain of my site is "kimiwo.aishitei.ru". The name of my host is "Lovehost". The domain is Japanese and translates to "I love you". The software it runs is what is called "lolisafe".
[0] https://news.ycombinator.com/item?id=9868352
[1] https://www.microsoft.com/en-us/PhotoDNA/