105144 has 32 divisors (see below), whose sum is σ = 283920. Its totient is φ = 32256.

The previous prime is 105143. The next prime is 105167. The reversal of 105144 is 441501.

It is a super-2 number, since 2×105144² = 22110521472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 480.

2¹⁰⁵¹⁴⁴ 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 105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141960).

105144 is an abundant number, since it is smaller than the sum of its proper divisors (178776).

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

105144 is a wasteful number, since it uses less digits than its factorization.

105144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 105144 is about 324.2591556148. The cubic root of 105144 is about 47.1984965527.

Adding to 105144 its reverse (441501), we get a palindrome (546645).

The spelling of 105144 in words is "one hundred five thousand, one hundred forty-four".