100144 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 45440.

The previous prime is 100129. The next prime is 100151. The reversal of 100144 is 441001.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁰⁰¹⁴⁴ is an apocalyptic number.

It is an amenable number.

100144 is an abundant number, since it is smaller than the sum of its proper divisors (111896).

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

100144 is a wasteful number, since it uses less digits than its factorization.

100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100144 is about 316.4553681011. The cubic root of 100144 is about 46.4381572769.

Subtracting from 100144 its product of nonzero digits (16), we obtain a triangular number (100128 = T₄₄₇).

Adding to 100144 its reverse (441001), we get a palindrome (541145).

It can be divided in two parts, 1001 and 44, that multiplied together give a palindrome (44044).

The spelling of 100144 in words is "one hundred thousand, one hundred forty-four", and thus it is an iban number.