105806564 has 6 divisors (see below), whose sum is σ = 185161494. Its totient is φ = 52903280.

The previous prime is 105806557. The next prime is 105806579. The reversal of 105806564 is 465608501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 105678400 + 128164 = 10280^2 + 358^2 .

It is a super-2 number, since 2×105806564² = 22390057970972192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13225817 + ... + 13225824.

It is an arithmetic number, because the mean of its divisors is an integer number (30860249).

Almost surely, 2^105806564 is an apocalyptic number.

It is an amenable number.

105806564 is a deficient number, since it is larger than the sum of its proper divisors (79354930).

105806564 is a wasteful number, since it uses less digits than its factorization.

105806564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26451645 (or 26451643 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 105806564 is about 10286.2317687285. The cubic root of 105806564 is about 472.9742933971.

The spelling of 105806564 in words is "one hundred five million, eight hundred six thousand, five hundred sixty-four".