106564115 has 16 divisors (see below), whose sum is σ = 147909888. Its totient is φ = 72190176.

The previous prime is 106564111. The next prime is 106564121. The reversal of 106564115 is 511465601.

It is a cyclic number.

It is not a de Polignac number, because 106564115 - 2² = 106564111 is a prime.

It is a super-2 number, since 2×106564115² = 22711821211466450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106564111) 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 15 ways as a sum of consecutive naturals, for example, 15437 + ... + 21246.

It is an arithmetic number, because the mean of its divisors is an integer number (9244368).

Almost surely, 2^106564115 is an apocalyptic number.

106564115 is a deficient number, since it is larger than the sum of its proper divisors (41345773).

106564115 is an equidigital number, since it uses as much as digits as its factorization.

106564115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36778.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 106564115 is about 10322.9896347909. The cubic root of 106564115 is about 474.1004063083.

The spelling of 106564115 in words is "one hundred six million, five hundred sixty-four thousand, one hundred fifteen".