It is already known to us that Kṛṣṇa had 16,108 wives. All these wives were exalted liberated souls, and among them Queen Rukmiṇī was the chief. After Rukmiṇī there were seven other principal wives, and the names of the sons of these eight principal queens have already been mentioned. Besides the sons born of these eight queens, Lord Kṛṣṇa had ten sons by each of the other queens. Thus altogether Kṛṣṇa’s sons numbered 16,108 times ten. One should not be astonished to hear that Kṛṣṇa had so many sons. One should always remember that Kṛṣṇa is the Supreme Personality of Godhead and that He has unlimited potencies. He claims all living entities as His sons, so the fact that He had 161,080 sons attached to Him personally should be no cause for astonishment.
Among Kṛṣṇa’s greatly powerful sons, eighteen sons were mahā-rathas. The mahā-rathas could fight alone against many thousands of foot soldiers, charioteers, cavalry and elephants. The reputations of these eighteen sons are very widespread and are described in almost all the Vedic scriptures. The eighteen mahā-ratha sons are listed as Pradyumna, Aniruddha, Dīptimān, Bhānu, Sāmba, Madhu, Bṛhadbhānu, Citrabhānu, Vṛka, Aruṇa, Puṣkara, Vedabāhu, Śrutadeva, Sunandana, Citrabāhu, Virūpa, Kavi and Nyagrodha. Of these eighteen mahā-ratha sons of Kṛṣṇa, Pradyumna is considered the foremost. Pradyumna happened to be the eldest son of Queen Rukmiṇī, and he inherited all the qualities of his great father, Lord Kṛṣṇa. He married the daughter of his maternal uncle, Rukmī, and from that marriage Aniruddha was born. Aniruddha was so powerful that he could fight against ten thousand elephants. He married the granddaughter of Rukmī, the brother of his grandmother Rukmiṇī. Because the relationship between these cousins was distant, such a marriage was not uncommon. Aniruddha’s son was Vajra. When the whole Yadu dynasty was destroyed by the curse of some brāhmaṇas, only Vajra survived. Vajra had one son, whose name was Pratibāhu. The son of Pratibāhu was named Subāhu, the son of Subāhu was named Śāntasena, and the son of Śāntasena was Śatasena.
It is stated by Śukadeva Gosvāmī that all the members of the Yadu dynasty had many children. Just as Kṛṣṇa had many sons, grandsons and great-grandsons, each one of the kings named herewith also had similar family extensions. Not only did all of them have many children, but all were extraordinarily rich and opulent. None of them were weak or short-lived, and above all, all the members of the Yadu dynasty were staunch devotees of the brahminical culture. It is the duty of the kṣatriya kings to maintain the brahminical culture and protect the qualified brāhmaṇas, and all these kings discharged their duties rightly. The members of the Yadu dynasty were so numerous that it would be very difficult to describe them all, even if one had a duration of life of many thousands of years. Śrīla Śukadeva Gosvāmī informed Mahārāja Parīkṣit that he had heard from reliable sources that simply to teach the children of the Yadu dynasty there were as many as 38,800,000 tutors, or ācāryas. If so many teachers were needed to educate their children, one can simply imagine how vast was the number of family members. As for their military strength, it is said that King Ugrasena alone had ten quadrillion soldiers as personal bodyguards.