106814205 has 12 divisors (see below), whose sum is σ = 185144700. Its totient is φ = 56967552.

The previous prime is 106814173. The next prime is 106814207. The reversal of 106814205 is 502418601.

It can be written as a sum of positive squares in 2 ways, for example, as 77686596 + 29127609 = 8814^2 + 5397^2 .

It is not a de Polignac number, because 106814205 - 2⁵ = 106814173 is a prime.

It is a super-2 number, since 2×106814205² = 22818548779564050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106814207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1186780 + ... + 1186869.

It is an arithmetic number, because the mean of its divisors is an integer number (15428725).

Almost surely, 2^106814205 is an apocalyptic number.

106814205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106814205 is a deficient number, since it is larger than the sum of its proper divisors (78330495).

106814205 is a wasteful number, since it uses less digits than its factorization.

106814205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373660 (or 2373657 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 106814205 is about 10335.0957905575. The cubic root of 106814205 is about 474.4709974082.

The spelling of 106814205 in words is "one hundred six million, eight hundred fourteen thousand, two hundred five".