How to solve ORA-27102: out of memory on startup

You want to increase your SGA to a larger value, and you have taken care to increase the value of shmmax in the /etc/sysctl.conf file.

When starting up the database with increased values for sga_max_size and sga_target, you hit

SQL> startup
ORA-27102: out of memory
Linux-x86_64 Error: 28: No space left on device
Additional information: 1543503872
Additional information: 1

Solution:
Increase the value of shmall as well. Shmall indicates the total amount of shared memory that the system can use at one time (measured in pages).

To find the page size:

getconf PAGE_SIZE
4096

Make sure that the shmall is larger, not identical, than the setting of your SGA.
For example, if you want a 12G SGA, do not set shmall to 3145728 which would be the number of pages for 12G

Set it to a value larger instead, for example 3670016, which is the number of pages equivalent to 14G:

3670016*4096=15032385536
15032385536/1024/1024/1024 = 14G

As root, open /etc/sysctl.conf in an editor.
Search for the string kernel.shmall
Change the value
Save and exit.

Then, still as root, execute

sysctl -p

Check that the new settings are in place:

/sbin/sysctl -a | grep shm

The database should now be possible to open.