103003100200 has 576 divisors, whose sum is σ = 340488921600. Its totient is φ = 28062028800.

The previous prime is 103003100183. The next prime is 103003100209. The reversal of 103003100200 is 2001300301.

It is a super-2 number, since 2×103003100200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (103003100209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49448359 + ... + 49450441.

It is an arithmetic number, because the mean of its divisors is an integer number (591126600).

Almost surely, 2^103003100200 is an apocalyptic number.

103003100200 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 103003100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170244460800).

103003100200 is an abundant number, since it is smaller than the sum of its proper divisors (237485821400).

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

103003100200 is a wasteful number, since it uses less digits than its factorization.

103003100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 103003100200 its reverse (2001300301), we get a palindrome (105004400501).

It can be divided in two parts, 103003 and 100200, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 103003100200 in words is "one hundred three billion, three million, one hundred thousand, two hundred".