105696 has 36 divisors (see below), whose sum is σ = 301392. Its totient is φ = 35136.

The previous prime is 105691. The next prime is 105701. The reversal of 105696 is 696501.

It is an interprime number because it is at equal distance from previous prime (105691) and next prime (105701).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105696² = 22343288832, which contains 22 as substring.

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

It is a zygodrome in base 2.

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 105696.

It is not an unprimeable number, because it can be changed into a prime (105691) by changing a digit.

105696 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 5 ways as a sum of consecutive naturals, for example, 105 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (8372).

2¹⁰⁵⁶⁹⁶ is an apocalyptic number.

105696 is a gapful number since it is divisible by the number (16) 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 105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150696).

105696 is an abundant number, since it is smaller than the sum of its proper divisors (195696).

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

105696 is a wasteful number, since it uses less digits than its factorization.

105696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105696 is about 325.1092124195. The cubic root of 105696 is about 47.2809489017.

The spelling of 105696 in words is "one hundred five thousand, six hundred ninety-six".