100320300300 has 576 divisors, whose sum is σ = 337343408640. Its totient is φ = 22794240000.

The previous prime is 100320300299. The next prime is 100320300331. The reversal of 100320300300 is 3003023001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 937572847 + ... + 937572953.

It is an arithmetic number, because the mean of its divisors is an integer number (585665640).

Almost surely, 2^100320300300 is an apocalyptic number.

100320300300 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 100320300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168671704320).

100320300300 is an abundant number, since it is smaller than the sum of its proper divisors (237023108340).

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

100320300300 is a wasteful number, since it uses less digits than its factorization.

100320300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 100320300300 its reverse (3003023001), we get a palindrome (103323323301).

The spelling of 100320300300 in words is "one hundred billion, three hundred twenty million, three hundred thousand, three hundred".