103323200100 has 144 divisors (see below), whose sum is σ = 317147076288. Its totient is φ = 25881845760.

The previous prime is 103323200051. The next prime is 103323200107. The reversal of 103323200100 is 1002323301.

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 103323200100.

It is not an unprimeable number, because it can be changed into a prime (103323200107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2647932 + ... + 2686668.

It is an arithmetic number, because the mean of its divisors is an integer number (2202410252).

Almost surely, 2^103323200100 is an apocalyptic number.

103323200100 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 103323200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158573538144).

103323200100 is an abundant number, since it is smaller than the sum of its proper divisors (213823876188).

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

103323200100 is a wasteful number, since it uses less digits than its factorization.

103323200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39294 (or 39287 counting only the distinct ones).

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

Adding to 103323200100 its reverse (1002323301), we get a palindrome (104325523401).

The spelling of 103323200100 in words is "one hundred three billion, three hundred twenty-three million, two hundred thousand, one hundred".