10208116 has 12 divisors (see below), whose sum is σ = 18480420. Its totient is φ = 4928000.

The previous prime is 10208069. The next prime is 10208117. The reversal of 10208116 is 61180201.

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 8236900 = 1404^2 + 2870^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10208093 and 10208102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10208117) 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 3 ways as a sum of consecutive naturals, for example, 43885 + ... + 44116.

It is an arithmetic number, because the mean of its divisors is an integer number (1540035).

Almost surely, 2^10208116 is an apocalyptic number.

It is an amenable number.

10208116 is a deficient number, since it is larger than the sum of its proper divisors (8272304).

10208116 is a wasteful number, since it uses less digits than its factorization.

10208116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88034 (or 88032 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 10208116 is about 3195.0142409698. The cubic root of 10208116 is about 216.9277935130.

Adding to 10208116 its reverse (61180201), we get a palindrome (71388317).

The spelling of 10208116 in words is "ten million, two hundred eight thousand, one hundred sixteen".