20105040 has 80 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 5078016.

The previous prime is 20105039. The next prime is 20105053. The reversal of 20105040 is 4050102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2356 + ... + 6764.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 2^20105040 is an apocalyptic number.

20105040 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 20105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

20105040 is an abundant number, since it is smaller than the sum of its proper divisors (45515760).

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

20105040 is a wasteful number, since it uses less digits than its factorization.

20105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 20105040 is about 4483.8644047295. The cubic root of 20105040 is about 271.9161361986.

Adding to 20105040 its reverse (4050102), we get a palindrome (24155142).

The spelling of 20105040 in words is "twenty million, one hundred five thousand, forty".