20105680 has 120 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6564096.

The previous prime is 20105677. The next prime is 20105681. The reversal of 20105680 is 8650102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90049 + ... + 90271.

Almost surely, 2^20105680 is an apocalyptic number.

20105680 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 20105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20105680 is an abundant number, since it is smaller than the sum of its proper divisors (36890672).

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

20105680 is a wasteful number, since it uses less digits than its factorization.

20105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 20105680 is about 4483.9357711725. The cubic root of 20105680 is about 271.9190214532.

Adding to 20105680 its reverse (8650102), we get a palindrome (28755782).

The spelling of 20105680 in words is "twenty million, one hundred five thousand, six hundred eighty".