105648 has 40 divisors (see below), whose sum is σ = 285696. Its totient is φ = 33600.

The previous prime is 105619. The next prime is 105649. The reversal of 105648 is 846501.

It is a super-2 number, since 2×105648² = 22322999808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105648.

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 7 ways as a sum of consecutive naturals, for example, 1453 + ... + 1523.

2¹⁰⁵⁶⁴⁸ 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 105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848).

105648 is an abundant number, since it is smaller than the sum of its proper divisors (180048).

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

105648 is a wasteful number, since it uses less digits than its factorization.

105648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105648 is about 325.0353826893. The cubic root of 105648 is about 47.2737905445.

The spelling of 105648 in words is "one hundred five thousand, six hundred forty-eight".