10096224 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 3344000.

The previous prime is 10096217. The next prime is 10096243. The reversal of 10096224 is 42269001.

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 a junction number, because it is equal to n+sod(n) for n = 10096194 and 10096203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23887 + ... + 24305.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^10096224 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 10096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

10096224 is an abundant number, since it is smaller than the sum of its proper divisors (16575456).

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

10096224 is a wasteful number, since it uses less digits than its factorization.

10096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10096224 is about 3177.4555858422. The cubic root of 10096224 is about 216.1322920733.

The spelling of 10096224 in words is "ten million, ninety-six thousand, two hundred twenty-four".