10219296 has 24 divisors (see below), whose sum is σ = 26825904. Its totient is φ = 3406400.

The previous prime is 10219277. The next prime is 10219327. The reversal of 10219296 is 69291201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 53130 + ... + 53321.

It is an arithmetic number, because the mean of its divisors is an integer number (1117746).

Almost surely, 2^10219296 is an apocalyptic number.

10219296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10219296 is an abundant number, since it is smaller than the sum of its proper divisors (16606608).

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

10219296 is a wasteful number, since it uses less digits than its factorization.

10219296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106464 (or 106456 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10219296 is about 3196.7633631534. The cubic root of 10219296 is about 217.0069582314.

The spelling of 10219296 in words is "ten million, two hundred nineteen thousand, two hundred ninety-six".