20106144 has 60 divisors (see below), whose sum is σ = 59139234. Its totient is φ = 6701184.

The previous prime is 20106143. The next prime is 20106157. The reversal of 20106144 is 44160102.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 5817744 = 3780^2 + 2412^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20106143) 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 9 ways as a sum of consecutive naturals, for example, 1287 + ... + 6470.

Almost surely, 2^20106144 is an apocalyptic number.

20106144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20106144 is an abundant number, since it is smaller than the sum of its proper divisors (39033090).

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

20106144 is an equidigital number, since it uses as much as digits as its factorization.

20106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20106144 is about 4483.9875111334. The cubic root of 20106144 is about 271.9211132246.

Adding to 20106144 its reverse (44160102), we get a palindrome (64266246).

The spelling of 20106144 in words is "twenty million, one hundred six thousand, one hundred forty-four".