106667568 has 240 divisors, whose sum is σ = 365601600. Its totient is φ = 28385280.

The previous prime is 106667557. The next prime is 106667569. The reversal of 106667568 is 865766601.

It is a super-2 number, since 2×106667568² = 22755940126069248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198468 + ... + 1198556.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^106667568 is an apocalyptic number.

106667568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106667568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

106667568 is an abundant number, since it is smaller than the sum of its proper divisors (258934032).

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

106667568 is a wasteful number, since it uses less digits than its factorization.

106667568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 106667568 is about 10327.9992254066. Note that the first 3 decimals coincide. The cubic root of 106667568 is about 474.2537764060.

The spelling of 106667568 in words is "one hundred six million, six hundred sixty-seven thousand, five hundred sixty-eight".