10182168 has 48 divisors (see below), whose sum is σ = 27864720. Its totient is φ = 3358656.

The previous prime is 10182149. The next prime is 10182173. The reversal of 10182168 is 86128101.

10182168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6730 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (580515).

Almost surely, 2^10182168 is an apocalyptic number.

10182168 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 10182168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932360).

10182168 is an abundant number, since it is smaller than the sum of its proper divisors (17682552).

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

10182168 is a wasteful number, since it uses less digits than its factorization.

10182168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10182168 is about 3190.9509554363. The cubic root of 10182168 is about 216.7438347085.

The spelling of 10182168 in words is "ten million, one hundred eighty-two thousand, one hundred sixty-eight".