106564289 has 8 divisors (see below), whose sum is σ = 117561192. Its totient is φ = 95967360.

The previous prime is 106564261. The next prime is 106564333. The reversal of 106564289 is 982465601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14250625 + 92313664 = 3775^2 + 9608^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106564289 - 2¹⁶ = 106498753 is a prime.

It is a super-2 number, since 2×106564289² = 22711895380151042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106564219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99434 + ... + 100499.

It is an arithmetic number, because the mean of its divisors is an integer number (14695149).

Almost surely, 2^106564289 is an apocalyptic number.

It is an amenable number.

106564289 is a deficient number, since it is larger than the sum of its proper divisors (10996903).

106564289 is a wasteful number, since it uses less digits than its factorization.

106564289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199987.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 106564289 is about 10322.9980625785. The cubic root of 106564289 is about 474.1006643484.

The spelling of 106564289 in words is "one hundred six million, five hundred sixty-four thousand, two hundred eighty-nine".