103020321300 has 648 divisors, whose sum is σ = 351108777600. Its totient is φ = 23300259840.

The previous prime is 103020321289. The next prime is 103020321331. The reversal of 103020321300 is 3123020301.

It is a super-2 number, since 2×103020321300² (a number of 23 digits) contains 22 as substring.

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 103020321300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1157531656 + ... + 1157531744.

Almost surely, 2^103020321300 is an apocalyptic number.

103020321300 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 103020321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175554388800).

103020321300 is an abundant number, since it is smaller than the sum of its proper divisors (248088456300).

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

103020321300 is a wasteful number, since it uses less digits than its factorization.

103020321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

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

Adding to 103020321300 its reverse (3123020301), we get a palindrome (106143341601).

The spelling of 103020321300 in words is "one hundred three billion, twenty million, three hundred twenty-one thousand, three hundred".