There is no international single name. Certain countries have names for the official residence, though not all do so
President Lives in Islamabad, the capital of the country. The official name given to the residence of President of Pakistan is "Aiwan-e-Sadar". "Aiwan-e-Sadar" means residence of Mr. President.
The full official name is the Republic of the Philippines.
The residence located at the Old Naval Observatory is known as the Vice President's Residence. This historic building, situated in Washington, D.C., serves as the official home for the Vice President of the United States. The residence has a rich history and is used for various official functions and events.
It depends which countries president you are referring to.
The official name of the Philippines is "The Republic of the Philippines" (Republika ng Pilipinas in Filipino).
The Irish president (currently Michael D. Higgins) lives in Áras an Úachtarán in Phoenix park in Dublin. It is the official residence of the president of Ireland. Its name means the house of the president.
The White House, formerly known as the Executive Mansion (1810-1902), is the official office and residence of the President of the United States. It did not become the official name of the building until 1902, when it was adopted by Theodore "Teddy" Roosevelt, the 26th President of the United States, who served from 1901-1909.
The Second Name is the republic of the Philippines
Theodore Roosevelt used the words, "White House" on his official stationery in 1901 to name his house. However, people had been calling it the White House for at least 75 years and probably since it was built.
There is no official royal residence in the US, because they do not have a monarch.There is a royal residence in Hawaii. It was the home of queen Lilliukalane. I don't know if it has a specific name, though.It is Iolani Palace
Ireland does not have a governor. The President of Ireland lives in Áras an Úachtaráin, which literally means the home of the president. The Taoiseach, which is the official name of the head of an Irish government does not have an official residence and so live in their own home.