107296 has 24 divisors (see below), whose sum is σ = 241920. Its totient is φ = 45888.

The previous prime is 107279. The next prime is 107309. The reversal of 107296 is 692701.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 107296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁰⁷²⁹⁶ is an apocalyptic number.

107296 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 107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

107296 is an abundant number, since it is smaller than the sum of its proper divisors (134624).

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

107296 is an equidigital number, since it uses as much as digits as its factorization.

107296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 107296 is about 327.5606814012. The cubic root of 107296 is about 47.5183308751.

Adding to 107296 its reverse (692701), we get a palindrome (799997).

The spelling of 107296 in words is "one hundred seven thousand, two hundred ninety-six".