106311568 has 60 divisors (see below), whose sum is σ = 229321260. Its totient is φ = 47703040.

The previous prime is 106311563. The next prime is 106311581. The reversal of 106311568 is 865113601.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 96275344 = 3168^2 + 9812^2 .

It is a super-2 number, since 2×106311568² = 22604298981237248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106311563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 171996 + ... + 172612.

It is an arithmetic number, because the mean of its divisors is an integer number (3822021).

Almost surely, 2^106311568 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 106311568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114660630).

106311568 is an abundant number, since it is smaller than the sum of its proper divisors (123009692).

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

106311568 is a wasteful number, since it uses less digits than its factorization.

106311568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 106311568 is about 10310.7501182019. The cubic root of 106311568 is about 473.7255854940.

The spelling of 106311568 in words is "one hundred six million, three hundred eleven thousand, five hundred sixty-eight".