106595568 has 80 divisors (see below), whose sum is σ = 307599360. Its totient is φ = 35342784.

The previous prime is 106595563. The next prime is 106595591. The reversal of 106595568 is 865595601.

It is a happy number.

106595568 is a `hidden beast` number, since 1 + 0 + 6 + 595 + 56 + 8 = 666.

It is a super-2 number, since 2×106595568² = 22725230234485248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106595563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97521 + ... + 98607.

It is an arithmetic number, because the mean of its divisors is an integer number (3844992).

Almost surely, 2^106595568 is an apocalyptic number.

106595568 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 106595568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153799680).

106595568 is an abundant number, since it is smaller than the sum of its proper divisors (201003792).

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

106595568 is a wasteful number, since it uses less digits than its factorization.

106595568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 106595568 is about 10324.5129667215. The cubic root of 106595568 is about 474.1470461902.

The spelling of 106595568 in words is "one hundred six million, five hundred ninety-five thousand, five hundred sixty-eight".