10107168 has 48 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 3338496.

The previous prime is 10107161. The next prime is 10107169. The reversal of 10107168 is 86170101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10107161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11778 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (557760).

Almost surely, 2^10107168 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 10107168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386240).

10107168 is an abundant number, since it is smaller than the sum of its proper divisors (16665312).

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

10107168 is a wasteful number, since it uses less digits than its factorization.

10107168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 10107168 is about 3179.1772520575. The cubic root of 10107168 is about 216.2103574854.

Adding to 10107168 its reverse (86170101), we get a palindrome (96277269).

The spelling of 10107168 in words is "ten million, one hundred seven thousand, one hundred sixty-eight".