106564515 has 16 divisors (see below), whose sum is σ = 176004096. Its totient is φ = 55000800.

The previous prime is 106564511. The next prime is 106564519. The reversal of 106564515 is 515465601.

It is an interprime number because it is at equal distance from previous prime (106564511) and next prime (106564519).

It is not a de Polignac number, because 106564515 - 2² = 106564511 is a prime.

It is a super-2 number, since 2×106564515² = 22711991714370450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106564511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114121 + ... + 115050.

It is an arithmetic number, because the mean of its divisors is an integer number (11000256).

Almost surely, 2^106564515 is an apocalyptic number.

106564515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106564515 is a deficient number, since it is larger than the sum of its proper divisors (69439581).

106564515 is a wasteful number, since it uses less digits than its factorization.

106564515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229210.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 106564515 is about 10323.0090090051. The cubic root of 106564515 is about 474.1009995034.

The spelling of 106564515 in words is "one hundred six million, five hundred sixty-four thousand, five hundred fifteen".