105568060 has 48 divisors (see below), whose sum is σ = 240228576. Its totient is φ = 38737152.

The previous prime is 105568031. The next prime is 105568061. The reversal of 105568060 is 60865501.

It is a super-3 number, since 3×105568060³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105568061) 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, 43807 + ... + 46153.

It is an arithmetic number, because the mean of its divisors is an integer number (5004762).

Almost surely, 2^105568060 is an apocalyptic number.

105568060 is a gapful number since it is divisible by the number (10) 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 105568060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120114288).

105568060 is an abundant number, since it is smaller than the sum of its proper divisors (134660516).

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

105568060 is a wasteful number, since it uses less digits than its factorization.

105568060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105568060 is about 10274.6318668846. The cubic root of 105568060 is about 472.6186408310.

The spelling of 105568060 in words is "one hundred five million, five hundred sixty-eight thousand, sixty".