105664 has 28 divisors (see below), whose sum is σ = 227584. Its totient is φ = 48384.

The previous prime is 105653. The next prime is 105667. The reversal of 105664 is 466501.

105664 is nontrivially palindromic in base 7.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

105664 is an admirable number.

It is a super-2 number, since 2×105664² = 22329761792, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 769 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (8128).

2¹⁰⁵⁶⁶⁴ 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 105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113792).

105664 is an abundant number, since it is smaller than the sum of its proper divisors (121920).

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

105664 is a wasteful number, since it uses less digits than its factorization.

105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105664 is about 325.0599944626. The cubic root of 105664 is about 47.2761769044.

The spelling of 105664 in words is "one hundred five thousand, six hundred sixty-four".