10096416 has 72 divisors (see below), whose sum is σ = 31331664. Its totient is φ = 3058560.

The previous prime is 10096397. The next prime is 10096417. The reversal of 10096416 is 61469001.

10096416 is a `hidden beast` number, since 10 + 0 + 9 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 10096416.

It is not an unprimeable number, because it can be changed into a prime (10096417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (435162).

Almost surely, 2^10096416 is an apocalyptic number.

10096416 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 10096416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665832).

10096416 is an abundant number, since it is smaller than the sum of its proper divisors (21235248).

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

10096416 is a wasteful number, since it uses less digits than its factorization.

10096416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10096416 is about 3177.4857985521. The cubic root of 10096416 is about 216.1336621280.

The spelling of 10096416 in words is "ten million, ninety-six thousand, four hundred sixteen".