106560 has 84 divisors (see below), whose sum is σ = 376428. Its totient is φ = 27648.

The previous prime is 106543. The next prime is 106591. The reversal of 106560 is 65601.

106560 is a `hidden beast` number, since 10 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 36864 = 264^2 + 192^2 .

It is a super-2 number, since 2×106560² = 22710067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

106560 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 11 ways as a sum of consecutive naturals, for example, 2862 + ... + 2898.

2¹⁰⁶⁵⁶⁰ is an apocalyptic number.

106560 is a gapful number since it is divisible by the number (10) 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 106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188214).

106560 is an abundant number, since it is smaller than the sum of its proper divisors (269868).

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

106560 is a wasteful number, since it uses less digits than its factorization.

106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106560 is about 326.4352922097. The cubic root of 106560 is about 47.4094303728.

It can be divided in two parts, 106 and 560, that added together give a palindrome (666).

The spelling of 106560 in words is "one hundred six thousand, five hundred sixty".