10055168 has 40 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 4894720.

The previous prime is 10055153. The next prime is 10055173. The reversal of 10055168 is 86155001.

It is a super-5 number, since 5×10055168⁵ (a number of 36 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20753 + ... + 21231.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^10055168 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 10055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

10055168 is an abundant number, since it is smaller than the sum of its proper divisors (10568512).

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

10055168 is an frugal number, since it uses more digits than its factorization.

10055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 10055168 is about 3170.9884894146. The cubic root of 10055168 is about 215.8389288446.

The spelling of 10055168 in words is "ten million, fifty-five thousand, one hundred sixty-eight".