20105434525300 has 144 divisors (see below), whose sum is σ = 46650657916800. Its totient is φ = 7508110579200.

The previous prime is 20105434525273. The next prime is 20105434525321. The reversal of 20105434525300 is 352543450102.

It is a super-2 number, since 2×20105434525300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9473929 + ... + 11400271.

It is an arithmetic number, because the mean of its divisors is an integer number (323962902200).

Almost surely, 2^{20105434525300} is an apocalyptic number.

20105434525300 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 20105434525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23325328958400).

20105434525300 is an abundant number, since it is smaller than the sum of its proper divisors (26545223391500).

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

20105434525300 is a wasteful number, since it uses less digits than its factorization.

20105434525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926506 (or 1926499 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 20105434525300 its reverse (352543450102), we get a palindrome (20457977975402).

The spelling of 20105434525300 in words is "twenty trillion, one hundred five billion, four hundred thirty-four million, five hundred twenty-five thousand, three hundred".