106686405 has 24 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 48770784.

The previous prime is 106686353. The next prime is 106686413. The reversal of 106686405 is 504686601.

106686405 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 640 + 5 = 666.

It is not a de Polignac number, because 106686405 - 2⁷ = 106686277 is a prime.

It is a super-2 number, since 2×106686405² = 22763978023648050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106686405.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169029 + ... + 169658.

It is an arithmetic number, because the mean of its divisors is an integer number (8805888).

Almost surely, 2^106686405 is an apocalyptic number.

106686405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106686405 is a deficient number, since it is larger than the sum of its proper divisors (104654907).

106686405 is a wasteful number, since it uses less digits than its factorization.

106686405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338705 (or 338702 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106686405 is about 10328.9111236374. The cubic root of 106686405 is about 474.2816917718.

The spelling of 106686405 in words is "one hundred six million, six hundred eighty-six thousand, four hundred five".