106686905 has 16 divisors (see below), whose sum is σ = 139301904. Its totient is φ = 77967360.

The previous prime is 106686901. The next prime is 106686907. The reversal of 106686905 is 509686601.

It can be written as a sum of positive squares in 8 ways, for example, as 3400336 + 103286569 = 1844^2 + 10163^2 .

It is not a de Polignac number, because 106686905 - 2² = 106686901 is a prime.

It is a super-2 number, since 2×106686905² = 22764191396958050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106686901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2156 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (8706369).

Almost surely, 2^106686905 is an apocalyptic number.

It is an amenable number.

106686905 is a deficient number, since it is larger than the sum of its proper divisors (32614999).

106686905 is a wasteful number, since it uses less digits than its factorization.

106686905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 106686905 is about 10328.9353275156. The cubic root of 106686905 is about 474.2824326987.

The spelling of 106686905 in words is "one hundred six million, six hundred eighty-six thousand, nine hundred five".