20100444 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 5211648.

The previous prime is 20100439. The next prime is 20100463. The reversal of 20100444 is 44400102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86152 + ... + 86384.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^20100444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

20100444 is an abundant number, since it is smaller than the sum of its proper divisors (38605476).

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

20100444 is a wasteful number, since it uses less digits than its factorization.

20100444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20100444 is about 4483.3518710893. The cubic root of 20100444 is about 271.8954146647.

Adding to 20100444 its reverse (44400102), we get a palindrome (64500546).

The spelling of 20100444 in words is "twenty million, one hundred thousand, four hundred forty-four".