20424735100 has 144 divisors (see below), whose sum is σ = 55807428096. Its totient is φ = 6302880000.

The previous prime is 20424735053. The next prime is 20424735127. The reversal of 20424735100 is 153742402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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, 764569 + ... + 790831.

It is an arithmetic number, because the mean of its divisors is an integer number (387551584).

Almost surely, 2^20424735100 is an apocalyptic number.

20424735100 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 20424735100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903714048).

20424735100 is an abundant number, since it is smaller than the sum of its proper divisors (35382692996).

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

20424735100 is a wasteful number, since it uses less digits than its factorization.

20424735100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26396 (or 26389 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 20424735100 in words is "twenty billion, four hundred twenty-four million, seven hundred thirty-five thousand, one hundred".