106564661 has 12 divisors (see below), whose sum is σ = 124149420. Its totient is φ = 91203840.

The previous prime is 106564649. The next prime is 106564669. The reversal of 106564661 is 166465601.

It can be written as a sum of positive squares in 2 ways, for example, as 28153636 + 78411025 = 5306^2 + 8855^2 .

It is not a de Polignac number, because 106564661 - 2¹⁰ = 106563637 is a prime.

It is a super-2 number, since 2×106564661² = 22712053948089842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106564669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44351 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (10345785).

Almost surely, 2^106564661 is an apocalyptic number.

It is an amenable number.

106564661 is a deficient number, since it is larger than the sum of its proper divisors (17584759).

106564661 is an equidigital number, since it uses as much as digits as its factorization.

106564661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 106564661 is about 10323.0160805842. The cubic root of 106564661 is about 474.1012160193.

The spelling of 106564661 in words is "one hundred six million, five hundred sixty-four thousand, six hundred sixty-one".