105546 has 24 divisors (see below), whose sum is σ = 246240. Its totient is φ = 30072.

The previous prime is 105541. The next prime is 105557. The reversal of 105546 is 645501.

It is a happy number.

It is a super-2 number, since 2×105546² = 22279916232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a Curzon number.

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 105546.

It is not an unprimeable number, because it can be changed into a prime (105541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹⁰⁵⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

105546 is an abundant number, since it is smaller than the sum of its proper divisors (140694).

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

105546 is a wasteful number, since it uses less digits than its factorization.

105546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105546 is about 324.8784388044. The cubic root of 105546 is about 47.2585718331.

The spelling of 105546 in words is "one hundred five thousand, five hundred forty-six".