103301200300 has 72 divisors (see below), whose sum is σ = 227951660160. Its totient is φ = 40622899200.

The previous prime is 103301200283. The next prime is 103301200307. The reversal of 103301200300 is 3002103301.

103301200300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103301200300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103301200307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20304357 + ... + 20309443.

It is an arithmetic number, because the mean of its divisors is an integer number (3165995280).

Almost surely, 2^103301200300 is an apocalyptic number.

103301200300 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 103301200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113975830080).

103301200300 is an abundant number, since it is smaller than the sum of its proper divisors (124650459860).

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

103301200300 is a wasteful number, since it uses less digits than its factorization.

103301200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 103301200300 its reverse (3002103301), we get a palindrome (106303303601).

It can be divided in two parts, 103301 and 200300, that added together give a square (303601 = 551²).

The spelling of 103301200300 in words is "one hundred three billion, three hundred one million, two hundred thousand, three hundred".