20010144 has 96 divisors (see below), whose sum is σ = 65511936. Its totient is φ = 5195520.

The previous prime is 20010127. The next prime is 20010157. The reversal of 20010144 is 44101002.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (682416).

Almost surely, 2^20010144 is an apocalyptic number.

20010144 is a gapful number since it is divisible by the number (24) 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 20010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32755968).

20010144 is an abundant number, since it is smaller than the sum of its proper divisors (45501792).

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

20010144 is a wasteful number, since it uses less digits than its factorization.

20010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20010144 is about 4473.2699449061. The cubic root of 20010144 is about 271.4876456567.

Adding to 20010144 its reverse (44101002), we get a palindrome (64111146).

The spelling of 20010144 in words is "twenty million, ten thousand, one hundred forty-four".