10899168 has 96 divisors (see below), whose sum is σ = 33465600. Its totient is φ = 3104640.

The previous prime is 10899149. The next prime is 10899169. The reversal of 10899168 is 86199801.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10899169) 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 15 ways as a sum of consecutive naturals, for example, 32763 + ... + 33093.

It is an arithmetic number, because the mean of its divisors is an integer number (348600).

Almost surely, 2^10899168 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 10899168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16732800).

10899168 is an abundant number, since it is smaller than the sum of its proper divisors (22566432).

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

10899168 is an equidigital number, since it uses as much as digits as its factorization.

10899168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 10899168 is about 3301.3887986725. The cubic root of 10899168 is about 221.7163815854.

The spelling of 10899168 in words is "ten million, eight hundred ninety-nine thousand, one hundred sixty-eight".