10200168 has 128 divisors (see below), whose sum is σ = 31881600. Its totient is φ = 3032640.

The previous prime is 10200167. The next prime is 10200173. The reversal of 10200168 is 86100201.

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 10200168.

It is not an unprimeable number, because it can be changed into a prime (10200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192430 + ... + 192482.

It is an arithmetic number, because the mean of its divisors is an integer number (249075).

Almost surely, 2^10200168 is an apocalyptic number.

10200168 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 10200168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940800).

10200168 is an abundant number, since it is smaller than the sum of its proper divisors (21681432).

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

10200168 is an equidigital number, since it uses as much as digits as its factorization.

10200168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

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

The square root of 10200168 is about 3193.7701858462. The cubic root of 10200168 is about 216.8714791789.

Adding to 10200168 its reverse (86100201), we get a palindrome (96300369).

The spelling of 10200168 in words is "ten million, two hundred thousand, one hundred sixty-eight".