103644 has 18 divisors (see below), whose sum is σ = 262080. Its totient is φ = 34536.

The previous prime is 103643. The next prime is 103651. The reversal of 103644 is 446301.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103644.

It is not an unprimeable number, because it can be changed into a prime (103643) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1404 + ... + 1475.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2¹⁰³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

103644 is an abundant number, since it is smaller than the sum of its proper divisors (158436).

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

103644 is a wasteful number, since it uses less digits than its factorization.

103644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103644 is about 321.9378822071. The cubic root of 103644 is about 46.9729737484.

Adding to 103644 its reverse (446301), we get a palindrome (549945).

It can be divided in two parts, 103 and 644, that added together give a palindrome (747).

The spelling of 103644 in words is "one hundred three thousand, six hundred forty-four".