102200486304 has 384 divisors, whose sum is σ = 334304796672. Its totient is φ = 26674053120.

The previous prime is 102200486291. The next prime is 102200486309. The reversal of 102200486304 is 403684002201.

It is not an unprimeable number, because it can be changed into a prime (102200486309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70336842 + ... + 70338294.

It is an arithmetic number, because the mean of its divisors is an integer number (870585408).

Almost surely, 2^102200486304 is an apocalyptic number.

102200486304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200486304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167152398336).

102200486304 is an abundant number, since it is smaller than the sum of its proper divisors (232104310368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102200486304 is a wasteful number, since it uses less digits than its factorization.

102200486304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 102200486304 its reverse (403684002201), we get a palindrome (505884488505).

The spelling of 102200486304 in words is "one hundred two billion, two hundred million, four hundred eighty-six thousand, three hundred four".