105448 has 24 divisors (see below), whose sum is σ = 230850. Its totient is φ = 45024.

The previous prime is 105437. The next prime is 105449. The reversal of 105448 is 844501.

It can be written as a sum of positive squares in only one way, i.e., 103684 + 1764 = 322^2 + 42^2 .

It is a super-2 number, since 2×105448² = 22238561408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105449) 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, 258 + ... + 526.

2¹⁰⁵⁴⁴⁸ 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 105448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115425).

105448 is an abundant number, since it is smaller than the sum of its proper divisors (125402).

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

105448 is a wasteful number, since it uses less digits than its factorization.

105448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105448 is about 324.7275781328. The cubic root of 105448 is about 47.2439406953.

Adding to 105448 its reverse (844501), we get a palindrome (949949).

The spelling of 105448 in words is "one hundred five thousand, four hundred forty-eight".