20430716100 has 144 divisors (see below), whose sum is σ = 59846169600. Its totient is φ = 5381043200.

The previous prime is 20430716099. The next prime is 20430716123. The reversal of 20430716100 is 161703402.

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, 8536504 + ... + 8538896.

It is an arithmetic number, because the mean of its divisors is an integer number (415598400).

Almost surely, 2^20430716100 is an apocalyptic number.

20430716100 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 20430716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29923084800).

20430716100 is an abundant number, since it is smaller than the sum of its proper divisors (39415453500).

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

20430716100 is a wasteful number, since it uses less digits than its factorization.

20430716100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 20430716100 in words is "twenty billion, four hundred thirty million, seven hundred sixteen thousand, one hundred".