This is not a valid IP address for a host in a /24 or smaller network. It is a network address (it refers to the entire subnet), so you need a valid host address such as 192.168.10.1.
You need to use bridge-VLANs (DSA syntax) to setup your new VLAN. Let's assume that port lan1 will be your trunk to the TL-SG105E, and let's assign port lan4 to be the new network so you can test that it works (without concern for any issues on the other switch).
We'll start by creating two bridge VLANs:
config bridge-vlan
option device 'br-lan'
option vlan '1'
list ports 'lan1:u*'
list ports 'lan2:u*'
list ports 'lan3:u*'
config bridge-vlan
option device 'br-lan'
option vlan '10'
list ports 'lan1:t'
list ports 'lan4:u*'
Now we'll edit the lan interface to use br-lan.1 as its device:
config interface 'lan'
option device 'br-lan.1'
option proto 'static'
option ipaddr '192.168.1.1'
option netmask '255.255.255.0'
option ip6assign '60'
And now we can create VLAN 10's interface:
config interface 'vlan10'
option device 'br-lan.10'
option proto 'static'
option ipaddr '192.168.10.1'
option netmask '255.255.255.0'
Next, create a DHCP server for VLAN10:
config dhcp 'vlan10'
option interface 'vlan10'
option start '100'
option limit '150'
option leasetime '12h'
option dhcpv4 'server'
And finally, you'll need to assign the new network to a firewall zone. We can create a new zone as I'll show here, but your goals may be different (this will at least get it working):
config zone
option name 'vlan10'
option input 'ACCEPT'
option output 'ACCEPT'
option forward 'ACCEPT'
list network 'vlan10'
config forwarding
option src 'vlan10'
option dest 'wan'
This will allow the new VLAN10 full access to the router itself and will allow it access to the internet. VLAN 1 will not be able to reach VLAN 10 and vice versa. All of this is adjustable, but again, this is just to get things working.
Port lan1 connects to your switch, ports lan2-3 are for your lan, and port lan4 is for the new network. Again, all of this can be adjusted, too.