He who wills goodness and mercy for all His creatures
Allah is Ar Rahman (in Arabic: ٱلْرَّحْمَـانُ). He is the One who blesses all his creation with prosperity and devoid from disparity. He is most merciful, kind, and loving towards all creation. His Rahman is all inclusive and embraces all.
Mentions From The Quran & Hadith
From the root r-h-m which has the following classical Arabic connotations: to have tenderness, gentleness, kindness to love to have mercy, to have pity to show favor and goodness to have all that is required for beneficence.
Every surah with the exception of Surah Taubah begins with recitation of this name in the Basmala (i.e., bismillah). Before beginning any task, say “bismillah hir-Rahman nir-Rahim” which means “In the name of God, The Most Gracious, The Most Merciful.” If you start with this you are seeking help through this name of Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ. Without Him nothing can be accomplished.
There are 169 mentions of Ar-Rahman throughout the entire Qur’an. The one most famously referenced in works as an example is the above from Surah al-Isra, “Say, ‘Call upon Allah or call upon the Most Merciful. Whichever [name] you call – to Him belong the best names.’ And do not recite [too] loudly in your prayer or [too] quietly but seek between that an [intermediate] way.” (17:110)
There are six names that refer to His mercy, kindness, and his generosity and they are Ar-Rahman, Ar-Raheem, Ar-Ra’uf, Al-Barr, Al-Karim, and Al-Wahhab. The name Ar-Rahman is reserved for Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ alone, it’s a quality that can’t be ascribed to anybody else. A person can be referred to as Ar-Raheem, meaning showing absolute mercy. But Ar-Rahman is understood to be all-encompassing mercy, so far reaching that it touches everything and everyone. A kind of mercy that knows no bounds. No one posses that kind of Mercy except Allah سُبْحَٰنَهُۥ وَتَعَٰلَىٰ. A person named Rahman must have the prefix Abdur, meaning servant of the merciful.
From the hadith, it comments on Allah’s Rahmat (mercy), “Verily, Allah has one hundred portions of mercy. From one portion the creation has been given mercy by virtue of which there is mutual love between the people and ninety nine portions are reserved for the Day of Resurrection.” 
Abdullah ibn Amr reported: The Messenger of Allah, peace and blessings be upon him, said, “Those who are merciful will be shown mercy by the Most Merciful. Be merciful to those on the earth and the One in the heavens will have mercy upon you.” 
The belief in Allah’s mercy is beneficial to a believer because it causes an individual to reflect on their ability to be merciful themselves. Narrated Jarir bin `Abdullah: Allah’s Messenger (ﷺ) said, “Allah will not be merciful to those who are not merciful to mankind.”  It also encourages a believer to do good, to act with virtue so that they can receive the mercy of their Lord, “As for those who believe and do good, the Most Compassionate will certainly bless them with genuine love” (Surah Maryam ayah 96)
- Source: Sahih Muslim 2753 Grade: Sahih (authentic) according to Muslim.
- Source: Sunan al-Tirmidhi 1924 Grade: Sahih (authentic) according to At-Tirmidhi
- Sahih al-Bukhari 7376