102003200320 has 112 divisors (see below), whose sum is σ = 277708400640. Its totient is φ = 34958168064.

The previous prime is 102003200317. The next prime is 102003200339. The reversal of 102003200320 is 23002300201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 102003200320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6441052 + ... + 6456868.

Almost surely, 2^102003200320 is an apocalyptic number.

102003200320 is a gapful number since it is divisible by the number (10) 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 102003200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138854200320).

102003200320 is an abundant number, since it is smaller than the sum of its proper divisors (175705200320).

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

102003200320 is a wasteful number, since it uses less digits than its factorization.

102003200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18720 (or 18710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 102003200320 its reverse (23002300201), we get a palindrome (125005500521).

The spelling of 102003200320 in words is "one hundred two billion, three million, two hundred thousand, three hundred twenty".