106564064 has 24 divisors (see below), whose sum is σ = 211144248. Its totient is φ = 52940160.

The previous prime is 106564063. The next prime is 106564091. The reversal of 106564064 is 460465601.

It is a super-2 number, since 2×106564064² = 22711799472392192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106564064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106564063) 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 3 ways as a sum of consecutive naturals, for example, 5582 + ... + 15629.

It is an arithmetic number, because the mean of its divisors is an integer number (8797677).

Almost surely, 2^106564064 is an apocalyptic number.

It is an amenable number.

106564064 is a deficient number, since it is larger than the sum of its proper divisors (104580184).

106564064 is a wasteful number, since it uses less digits than its factorization.

106564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21370 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 106564064 is about 10322.9871645760. The cubic root of 106564064 is about 474.1003306759.

The spelling of 106564064 in words is "one hundred six million, five hundred sixty-four thousand, sixty-four".