103200301320 has 512 divisors, whose sum is σ = 350890444800. Its totient is φ = 24153292800.

The previous prime is 103200301313. The next prime is 103200301331. The reversal of 103200301320 is 23103002301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103200301320.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380812785 + ... + 380813055.

It is an arithmetic number, because the mean of its divisors is an integer number (685332900).

Almost surely, 2^103200301320 is an apocalyptic number.

103200301320 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 103200301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175445222400).

103200301320 is an abundant number, since it is smaller than the sum of its proper divisors (247690143480).

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

103200301320 is a wasteful number, since it uses less digits than its factorization.

103200301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103200301320 its reverse (23103002301), we get a palindrome (126303303621).

The spelling of 103200301320 in words is "one hundred three billion, two hundred million, three hundred one thousand, three hundred twenty".