105896 has 32 divisors (see below), whose sum is σ = 238080. Its totient is φ = 43200.

The previous prime is 105883. The next prime is 105899. The reversal of 105896 is 698501.

It is a super-2 number, since 2×105896² = 22427925632, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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 105896.

It is not an unprimeable number, because it can be changed into a prime (105899) by changing a digit.

105896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1706 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (7440).

2¹⁰⁵⁸⁹⁶ 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 105896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119040).

105896 is an abundant number, since it is smaller than the sum of its proper divisors (132184).

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

105896 is a wasteful number, since it uses less digits than its factorization.

105896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 105896 is about 325.4166559966. The cubic root of 105896 is about 47.3107520846.

It can be divided in two parts, 105 and 896, that added together give a palindrome (1001).

The spelling of 105896 in words is "one hundred five thousand, eight hundred ninety-six".