20611306100 has 216 divisors, whose sum is σ = 58085219808. Its totient is φ = 6274195200.

The previous prime is 20611306091. The next prime is 20611306109. The reversal of 20611306100 is 160311602.

It is an interprime number because it is at equal distance from previous prime (20611306091) and next prime (20611306109).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20611306109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2313254 + ... + 2322146.

Almost surely, 2^20611306100 is an apocalyptic number.

20611306100 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 20611306100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29042609904).

20611306100 is an abundant number, since it is smaller than the sum of its proper divisors (37473913708).

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

20611306100 is a wasteful number, since it uses less digits than its factorization.

20611306100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20611306100 its reverse (160311602), we get a palindrome (20771617702).

The spelling of 20611306100 in words is "twenty billion, six hundred eleven million, three hundred six thousand, one hundred".