10996200 has 144 divisors (see below), whose sum is σ = 38083500. Its totient is φ = 2841600.

The previous prime is 10996187. The next prime is 10996201. The reversal of 10996200 is 269901.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 224676 + 10771524 = 474^2 + 3282^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10996201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 73726 + ... + 73874.

Almost surely, 2^10996200 is an apocalyptic number.

10996200 is a gapful number since it is divisible by the number (10) 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 10996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041750).

10996200 is an abundant number, since it is smaller than the sum of its proper divisors (27087300).

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

10996200 is a wasteful number, since it uses less digits than its factorization.

10996200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10996200 is about 3316.0518693169. The cubic root of 10996200 is about 222.3723966397.

The spelling of 10996200 in words is "ten million, nine hundred ninety-six thousand, two hundred".