What does a type followed by _t (underscore-t) represent?

As Douglas Mayle noted, it basically denotes a type name. Consequently, you would be ill-advised to end variable or function names with '_t' since it could cause some confusion. As well as size_t, the C89 standard defines wchar_t, off_t, ptrdiff_t, and probably some others I've forgotten. The C99 standard defines a lot of extra types, such as uintptr_t, intmax_t, int8_t, uint_least16_t, uint_fast32_t, and so on. These new types are formally defined in <stdint.h> but most often you will use <inttypes.h> which (unusually for standard C headers) includes <stdint.h>. It (<inttypes.h>) also defines macros for use with the printf() and scanf().

As Matt Curtis noted, there is no significance to the compiler in the suffix; it is a human-oriented convention.

However, you should also note that POSIX defines a lot of extra type names ending in '_t', and reserves the suffix for the implementation. That means that if you are working on POSIX-related systems, defining your own type names with the convention is ill-advised. The system I work on has done it (for more than 20 years); we regularly get tripped up by systems defining types with the same name as we define.

It's a convention used for naming data types, e.g with typedef:

typedef struct {  char* model;  int year;...} car_t;

The _t usually wraps an opaque type definition.

GCC merely add names that end with _t to the reserved namespace you may not use, to avoid conflicts with future versions of Standard C and POSIX (GNU C library manual). After some research, I finally found the correct reference inside the POSIX Standard 1003.1: B.2.12 Data Types (Volume: Rationale, Appendix: B. Rationale for System Interfaces, Chapter: B.2 General Information):

B.2.12 Data Types
Defined Types
The requirement that additional types defined in this section end in "_t" was prompted by the problem of name space pollution. It is difficult to define a type (where that type is not one defined by POSIX.1-2017) in one header file and use it in another without adding symbols to the name space of the program. To allow implementors to provide their own types, all conforming applications are required to avoid symbols ending in "_t", which permits the implementor to provide additional types. Because a major use of types is in the definition of structure members, which can (and in many cases must) be added to the structures defined in POSIX.1-2017, the need for additional types is compelling.

In a nutshell, the Standard says that there are good chances of extending the Standard types' list, therefore the Standard restricts the _t namespace for its own use.

For instance, your program matches POSIX 1003.1 Issue 7 and you defined a type foo_t. POSIX 1003.1 Issue 8 is eventually released with a newly defined type foo_t. Your program does not match the new version, which might be a problem. Restricting the _t usage prevents from refactoring the code. Thus, if you aim to a POSIX compliancy, you should definitely avoid the _t as the Standard states it.

Side note: personally, I try to stick to POSIX because I think it gives good basics for clean programming. Moreover, I am pretty fond of Linux Coding Style (chapter 5) guidelines. There are some good reasons why not using typedef. Hope this help!