10035116 has 48 divisors (see below), whose sum is σ = 22767360. Its totient is φ = 3758400.

The previous prime is 10035089. The next prime is 10035121. The reversal of 10035116 is 61153001.

It is a junction number, because it is equal to n+sod(n) for n = 10035094 and 10035103.

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 15 ways as a sum of consecutive naturals, for example, 6191 + ... + 7641.

It is an arithmetic number, because the mean of its divisors is an integer number (474320).

Almost surely, 2^10035116 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 10035116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11383680).

10035116 is an abundant number, since it is smaller than the sum of its proper divisors (12732244).

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

10035116 is a wasteful number, since it uses less digits than its factorization.

10035116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10035116 is about 3167.8251214358. The cubic root of 10035116 is about 215.6953581501.

Adding to 10035116 its reverse (61153001), we get a palindrome (71188117).

The spelling of 10035116 in words is "ten million, thirty-five thousand, one hundred sixteen".