10002168 has 96 divisors (see below), whose sum is σ = 30129840. Its totient is φ = 2972160.

The previous prime is 10002149. The next prime is 10002191. The reversal of 10002168 is 86120001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10002168.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57730 + ... + 57902.

Almost surely, 2^10002168 is an apocalyptic number.

10002168 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 10002168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064920).

10002168 is an abundant number, since it is smaller than the sum of its proper divisors (20127672).

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

10002168 is a wasteful number, since it uses less digits than its factorization.

10002168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10002168 is about 3162.6204324895. The cubic root of 10002168 is about 215.4590372595.

Adding to 10002168 its reverse (86120001), we get a palindrome (96122169).

The spelling of 10002168 in words is "ten million, two thousand, one hundred sixty-eight".