20105920 has 56 divisors (see below), whose sum is σ = 48518064. Its totient is φ = 7934976.

The previous prime is 20105873. The next prime is 20105927. The reversal of 20105920 is 2950102.

It is a super-3 number, since 3×20105920³ (a number of 23 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20105927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26182 + ... + 26938.

It is an arithmetic number, because the mean of its divisors is an integer number (866394).

Almost surely, 2^20105920 is an apocalyptic number.

20105920 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 20105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24259032).

20105920 is an abundant number, since it is smaller than the sum of its proper divisors (28412144).

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

20105920 is an equidigital number, since it uses as much as digits as its factorization.

20105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 20105920 is about 4483.9625332957. The cubic root of 20105920 is about 271.9201034080.

It can be divided in two parts, 20105 and 920, that added together give a square (21025 = 145²).

The spelling of 20105920 in words is "twenty million, one hundred five thousand, nine hundred twenty".