20305014100 has 288 divisors, whose sum is σ = 54901486080. Its totient is φ = 6365399040.

The previous prime is 20305014083. The next prime is 20305014131. The reversal of 20305014100 is 141050302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73303162 + ... + 73303438.

It is an arithmetic number, because the mean of its divisors is an integer number (190630160).

Almost surely, 2^20305014100 is an apocalyptic number.

20305014100 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 20305014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27450743040).

20305014100 is an abundant number, since it is smaller than the sum of its proper divisors (34596471980).

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

20305014100 is a wasteful number, since it uses less digits than its factorization.

20305014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 20305014100 its reverse (141050302), we get a palindrome (20446064402).

The spelling of 20305014100 in words is "twenty billion, three hundred five million, fourteen thousand, one hundred".