106566105 has 32 divisors (see below), whose sum is σ = 176373504. Its totient is φ = 54902016.

The previous prime is 106566091. The next prime is 106566121. The reversal of 106566105 is 501665601.

It is not a de Polignac number, because 106566105 - 2⁹ = 106565593 is a prime.

It is a super-2 number, since 2×106566105² = 22712669469742050, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86524 + ... + 87746.

It is an arithmetic number, because the mean of its divisors is an integer number (5511672).

Almost surely, 2^106566105 is an apocalyptic number.

106566105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106566105 is a deficient number, since it is larger than the sum of its proper divisors (69807399).

106566105 is a wasteful number, since it uses less digits than its factorization.

106566105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 106566105 is about 10323.0860211470. The cubic root of 106566105 is about 474.1033574392.

It can be divided in two parts, 10656 and 6105, that added together give a palindrome (16761).

The spelling of 106566105 in words is "one hundred six million, five hundred sixty-six thousand, one hundred five".