10108896 has 96 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 2878848.

The previous prime is 10108873. The next prime is 10108927. The reversal of 10108896 is 69880101.

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

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 15 ways as a sum of consecutive naturals, for example, 32775 + ... + 33081.

It is an arithmetic number, because the mean of its divisors is an integer number (323400).

Almost surely, 2^10108896 is an apocalyptic number.

10108896 is a gapful number since it is divisible by the number (16) 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 10108896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

10108896 is an abundant number, since it is smaller than the sum of its proper divisors (20937504).

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

10108896 is an equidigital number, since it uses as much as digits as its factorization.

10108896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 10108896 is about 3179.4490088693. The cubic root of 10108896 is about 216.2226784510. Note that the first 3 decimals are identical.

Adding to 10108896 its reverse (69880101), we get a palindrome (79988997).

The spelling of 10108896 in words is "ten million, one hundred eight thousand, eight hundred ninety-six".