Webmaster Trends Analyst, John Mueller, confirmed in a Google Webmaster Help thread that there is no limit to the number of links you can have on a page. Mueller said, “There's no limit to the number of links on your pages, so that wouldn't be affecting how your site shows up in search results.”
Previously there was a lot of confusion regarding the number of links allowed on a single page and it was believed that Google would penalize a website for having 100 or more links on a single page because it looked spammy. Last year, Google's Head of Search Spam, Matt Cutts also posted a video saying there was no more 100 links restriction. He also said that it wasn’t 100 links which Google was cutting off while indexing pages, it was actually 100 or 101kb, and each link is around 1kb in size.
Although Google had confirmed 100 links restrictions is no more, it was never specific on whether there is a limit or not. However, Mueller's response has made things clearer.Google Clears the Confusion on the Limit to the Number of Links You Can Have on a Page!,