106659168 has 192 divisors, whose sum is σ = 357654528. Its totient is φ = 27025920.

The previous prime is 106659151. The next prime is 106659169. The reversal of 106659168 is 861956601.

It is a happy number.

It is a super-2 number, since 2×106659168² = 22752356236904448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106659169) 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, 347271 + ... + 347577.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 2^106659168 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 106659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178827264).

106659168 is an abundant number, since it is smaller than the sum of its proper divisors (250995360).

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

106659168 is a wasteful number, since it uses less digits than its factorization.

106659168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 106659168 is about 10327.5925558670. The cubic root of 106659168 is about 474.2413270227.

The spelling of 106659168 in words is "one hundred six million, six hundred fifty-nine thousand, one hundred sixty-eight".