The setting is stored in the options field in the user table. the option is stored as a bitfield. You can lookup what bitfields do what in includes/xml/bitfield_vbulletin.xml
PHP Code:
<group name="useroptions">
<bitfield name="showsignatures">1</bitfield>
<bitfield name="showavatars">2</bitfield>
<bitfield name="showimages">4</bitfield>
<bitfield name="coppauser">8</bitfield>
<bitfield name="adminemail">16</bitfield>
<bitfield name="showvcard">32</bitfield>
<bitfield name="dstauto">64</bitfield>
<bitfield name="dstonoff">128</bitfield>
<bitfield name="showemail">256</bitfield>
<bitfield name="invisible">512</bitfield>
<bitfield name="showreputation">1024</bitfield>
<bitfield name="receivepm">2048</bitfield>
<bitfield name="emailonpm">4096</bitfield>
<bitfield name="hasaccessmask">8192</bitfield>
<bitfield name="postorder">32768</bitfield>
<bitfield name="showbirthdays">65536</bitfield>
<bitfield name="noactivationmails">262144</bitfield>
</group