100233103300 has 144 divisors (see below), whose sum is σ = 252697076352. Its totient is φ = 34104985600.

The previous prime is 100233103237. The next prime is 100233103319. The reversal of 100233103300 is 3301332001.

100233103300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219609 + ... + 3250591.

It is an arithmetic number, because the mean of its divisors is an integer number (1754840808).

Almost surely, 2^100233103300 is an apocalyptic number.

100233103300 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 100233103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126348538176).

100233103300 is an abundant number, since it is smaller than the sum of its proper divisors (152463973052).

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

100233103300 is a wasteful number, since it uses less digits than its factorization.

100233103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31198 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100233103300 its reverse (3301332001), we get a palindrome (103534435301).

The spelling of 100233103300 in words is "one hundred billion, two hundred thirty-three million, one hundred three thousand, three hundred".