How many kids have been born from donor eggs?

No U.S. registry. We do not know how many families have been successful with donor egg. The U.S. does not have a required registry. I imagine future legislation will change that, like Australia.
Thousands. The procedure is a great advance for women who need it. The children are -in general -as healthy as naturally conceived babies.

Related Questions

How do you tell your kids you were sterile, had infertility and had to use donor eggs?

No one answer. You should work with a professional to decide how to discuss your children's genetic basis. Seek help early when the children are very young so that you can have the opportunity to gradually disclose as appropriate. Many psychologists are very helpful with this sensitive, delicate subject. If you do it correctly then you should have no problems. Get help :). Read more...
Two more options. Dr opsahl gave an excellent answer. Most fertility clinics have a person or team who coordinates egg donation. They may be able to put you in touch with a former patient who has succeeded with donor eggs, has been 'in your shoes' and is willing to talk to intended parents about some of their concerns about egg donation. Online support groups may help too. Best wishes. Read more...
Several Ways. That is a delicate but common conversation. Most couples/parent(s) will speak with a psychologist to determine the best time to disclose that information as well as what words and phrases and helpful and which ones can be confusing. Read more...
Disclosure. Great question and answers. Research supports disclosure. You want to start your family building story at a young age. A lot of parents think about disclosing to teens, but we know being a teen is hard enough. I have some resources on my pinterest page, DrLindaATL. If you go to the ASRM.org website you can find a local psychologist to consult with. Read more...

If a women is to use donor eggs for IVF whose genes will the child have, the donor's genes or mother's ones?

Donor's. An infertile mother with donor eggs may still be a great incubator, and the maternal/fetal bonding is very real, but the genetics will totally be from the sperm and egg donors (hopefully the husband's sperm). Read more...