106564320 has 144 divisors (see below), whose sum is σ = 372323952. Its totient is φ = 27740160.

The previous prime is 106564261. The next prime is 106564333. The reversal of 106564320 is 23465601.

106564320 is a `hidden beast` number, since 1 + 0 + 656 + 4 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106564320² = 22711908594124800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61060 + ... + 62780.

It is an arithmetic number, because the mean of its divisors is an integer number (2585583).

Almost surely, 2^106564320 is an apocalyptic number.

106564320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186161976).

106564320 is an abundant number, since it is smaller than the sum of its proper divisors (265759632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106564320 is a wasteful number, since it uses less digits than its factorization.

106564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106564320 is about 10322.9995640802. Note that the first 3 decimals coincide. The cubic root of 106564320 is about 474.1007103210.

The spelling of 106564320 in words is "one hundred six million, five hundred sixty-four thousand, three hundred twenty".