That is to say the host-count in isolation is not the most interesting figure. I've seen large sites run on 20 machines or on 500, depending on the skills of the management- and developer-team, and how much they care about the infrastructure cost in the big picture.
The host-count becomes more interesting when you relate it to the request rate. 17k/sec is absolutely a worthwhile workload, even when (as likely in the disqus case) reads dominate writes by far.
That said the relation of 100 hosts / 17k rps seems about reasonable.
However (not meaning to narrow their achievement) the engineer in me can't help but wonder if perhaps even a little more could be squeezed out on the caching front? I was a bit surprised to not see varnish on the slides; fragment caching on the perimeter can achieve mind-boggling results.
In the general caching front though, I want to note though that Disqus is particularly hard to cache -- there's a very long tail leading to relatively a high miss:hit ratio per pound of caching.