106665168 has 80 divisors (see below), whose sum is σ = 291409920. Its totient is φ = 33551232.

The previous prime is 106665151. The next prime is 106665179. The reversal of 106665168 is 861566601.

It is a super-2 number, since 2×106665168² = 22754916128936448, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 86605 + ... + 87827.

It is an arithmetic number, because the mean of its divisors is an integer number (3642624).

Almost surely, 2^106665168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106665168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).

106665168 is an abundant number, since it is smaller than the sum of its proper divisors (184744752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106665168 is a wasteful number, since it uses less digits than its factorization.

106665168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 106665168 is about 10327.8830357436. The cubic root of 106665168 is about 474.2502195060.

The spelling of 106665168 in words is "one hundred six million, six hundred sixty-five thousand, one hundred sixty-eight".