10146168 has 64 divisors (see below), whose sum is σ = 28512000. Its totient is φ = 3342816.

The previous prime is 10146163. The next prime is 10146179. The reversal of 10146168 is 86164101.

10146168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146163) 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, 22893 + ... + 23331.

It is an arithmetic number, because the mean of its divisors is an integer number (445500).

Almost surely, 2^10146168 is an apocalyptic number.

10146168 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 10146168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14256000).

10146168 is an abundant number, since it is smaller than the sum of its proper divisors (18365832).

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

10146168 is a wasteful number, since it uses less digits than its factorization.

10146168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10146168 is about 3185.3050089434. The cubic root of 10146168 is about 216.4880937579.

The spelling of 10146168 in words is "ten million, one hundred forty-six thousand, one hundred sixty-eight".