106268568 has 64 divisors (see below), whose sum is σ = 304608000. Its totient is φ = 30264192.

The previous prime is 106268531. The next prime is 106268573. The reversal of 106268568 is 865862601.

It is a super-2 number, since 2×106268568² = 22586017089541248, 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 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, 62838 + ... + 64506.

It is an arithmetic number, because the mean of its divisors is an integer number (4759500).

Almost surely, 2^106268568 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 106268568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152304000).

106268568 is an abundant number, since it is smaller than the sum of its proper divisors (198339432).

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

106268568 is a wasteful number, since it uses less digits than its factorization.

106268568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 106268568 is about 10308.6647049945. The cubic root of 106268568 is about 473.6617073806.

The spelling of 106268568 in words is "one hundred six million, two hundred sixty-eight thousand, five hundred sixty-eight".