106667205 has 32 divisors (see below), whose sum is σ = 176836608. Its totient is φ = 54868800.

The previous prime is 106667161. The next prime is 106667207. The reversal of 106667205 is 502766601.

It is not a de Polignac number, because 106667205 - 2⁸ = 106666949 is a prime.

It is a super-3 number, since 3×106667205³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48990 + ... + 51120.

It is an arithmetic number, because the mean of its divisors is an integer number (5526144).

Almost surely, 2^106667205 is an apocalyptic number.

106667205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106667205 is a deficient number, since it is larger than the sum of its proper divisors (70169403).

106667205 is a wasteful number, since it uses less digits than its factorization.

106667205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106667205 is about 10327.9816518040. The cubic root of 106667205 is about 474.2532384283.

It can be divided in two parts, 10666 and 7205, that added together give a palindrome (17871).

The spelling of 106667205 in words is "one hundred six million, six hundred sixty-seven thousand, two hundred five".