105626564 has 18 divisors (see below), whose sum is σ = 189987210. Its totient is φ = 51383232.

The previous prime is 105626561. The next prime is 105626569. The reversal of 105626564 is 465626501.

105626564 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 69722500 + 35904064 = 8350^2 + 5992^2 .

It is a super-2 number, since 2×105626564² = 22313942044892192, which contains 22 as substring.

105626564 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (105626561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4169 + ... + 15120.

It is an arithmetic number, because the mean of its divisors is an integer number (10554845).

Almost surely, 2^105626564 is an apocalyptic number.

It is an amenable number.

105626564 is a deficient number, since it is larger than the sum of its proper divisors (84360646).

105626564 is a wasteful number, since it uses less digits than its factorization.

105626564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19367 (or 19328 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 105626564 is about 10277.4784845311. The cubic root of 105626564 is about 472.7059304109.

The spelling of 105626564 in words is "one hundred five million, six hundred twenty-six thousand, five hundred sixty-four".