105644 has 30 divisors (see below), whose sum is σ = 235284. Its totient is φ = 41160.

The previous prime is 105619. The next prime is 105649. The reversal of 105644 is 446501.

It is a happy number.

It is a super-2 number, since 2×105644² = 22321309472, which contains 22 as substring.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105644.

It is not an unprimeable number, because it can be changed into a prime (105649) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9599 + ... + 9609.

2¹⁰⁵⁶⁴⁴ is an apocalyptic number.

105644 is a gapful number since it is divisible by the number (14) 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 105644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117642).

105644 is an abundant number, since it is smaller than the sum of its proper divisors (129640).

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

105644 is an equidigital number, since it uses as much as digits as its factorization.

105644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105644 is about 325.0292294548. The cubic root of 105644 is about 47.2731939169.

It can be divided in two parts, 1056 and 44, that multiplied together give a palindrome (46464).

The spelling of 105644 in words is "one hundred five thousand, six hundred forty-four".