100103324200 has 144 divisors (see below), whose sum is σ = 257671008000. Its totient is φ = 36138115200.

The previous prime is 100103324173. The next prime is 100103324207. The reversal of 100103324200 is 2423301001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100103324207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3348921 + ... + 3378679.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382000).

Almost surely, 2^100103324200 is an apocalyptic number.

100103324200 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 100103324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128835504000).

100103324200 is an abundant number, since it is smaller than the sum of its proper divisors (157567683800).

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

100103324200 is a wasteful number, since it uses less digits than its factorization.

100103324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29936 (or 29916 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100103324200 its reverse (2423301001), we get a palindrome (102526625201).

The spelling of 100103324200 in words is "one hundred billion, one hundred three million, three hundred twenty-four thousand, two hundred".