106656 has 48 divisors (see below), whose sum is σ = 308448. Its totient is φ = 32000.

The previous prime is 106649. The next prime is 106657. The reversal of 106656 is 656601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106656² = 22751004672, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2¹⁰⁶⁶⁵⁶ is an apocalyptic number.

106656 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 106656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224).

106656 is an abundant number, since it is smaller than the sum of its proper divisors (201792).

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

106656 is a wasteful number, since it uses less digits than its factorization.

106656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106656 is about 326.5823020312. The cubic root of 106656 is about 47.4236631657.

106656 divided by its sum of digits (24) gives a palindrome (4444).

Subtracting 106656 from its reverse (656601), we obtain a palindrome (549945).

It can be divided in two parts, 10 and 6656, that added together give a palindrome (6666).

The spelling of 106656 in words is "one hundred six thousand, six hundred fifty-six".