20105223300 has 144 divisors (see below), whose sum is σ = 66211387200. Its totient is φ = 5230598400.

The previous prime is 20105223251. The next prime is 20105223301. The reversal of 20105223300 is 332250102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20105223301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19891 + ... + 201509.

It is an arithmetic number, because the mean of its divisors is an integer number (459801300).

Almost surely, 2^20105223300 is an apocalyptic number.

20105223300 is a gapful number since it is divisible by the number (20) 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 20105223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33105693600).

20105223300 is an abundant number, since it is smaller than the sum of its proper divisors (46106163900).

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

20105223300 is a wasteful number, since it uses less digits than its factorization.

20105223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181683 (or 181670 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 20105223300 its reverse (332250102), we get a palindrome (20437473402).

The spelling of 20105223300 in words is "twenty billion, one hundred five million, two hundred twenty-three thousand, three hundred".