10344096 has 108 divisors (see below), whose sum is σ = 34265322. Its totient is φ = 2951424.

The previous prime is 10344091. The next prime is 10344107. The reversal of 10344096 is 69044301.

10344096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5934096 + 4410000 = 2436^2 + 2100^2 .

It is not an unprimeable number, because it can be changed into a prime (10344091) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13746 + ... + 14478.

Almost surely, 2^10344096 is an apocalyptic number.

10344096 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 10344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132661).

10344096 is an abundant number, since it is smaller than the sum of its proper divisors (23921226).

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

10344096 is a wasteful number, since it uses less digits than its factorization.

10344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10344096 is about 3216.2238728049. The cubic root of 10344096 is about 217.8867632880.

Adding to 10344096 its reverse (69044301), we get a palindrome (79388397).

The spelling of 10344096 in words is "ten million, three hundred forty-four thousand, ninety-six".