106561 has 8 divisors (see below), whose sum is σ = 131264. Its totient is φ = 84240.

The previous prime is 106543. The next prime is 106591. The reversal of 106561 is 165601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106561 - 2⁷ = 106433 is a prime.

It is a super-2 number, since 2×106561² = 22710493442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106501) 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, 495 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (16408).

2¹⁰⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

106561 is a deficient number, since it is larger than the sum of its proper divisors (24703).

106561 is a wasteful number, since it uses less digits than its factorization.

106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106561 is about 326.4368239032. The cubic root of 106561 is about 47.4095786751.

The spelling of 106561 in words is "one hundred six thousand, five hundred sixty-one".