10117016 has 48 divisors (see below), whose sum is σ = 23497200. Its totient is φ = 3998592.

The previous prime is 10117007. The next prime is 10117061. The reversal of 10117016 is 61071101.

It is a junction number, because it is equal to n+sod(n) for n = 10116985 and 10117003.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8930 + ... + 9998.

It is an arithmetic number, because the mean of its divisors is an integer number (489525).

Almost surely, 2^10117016 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 10117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748600).

10117016 is an abundant number, since it is smaller than the sum of its proper divisors (13380184).

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

10117016 is a wasteful number, since it uses less digits than its factorization.

10117016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 10117016 is about 3180.7257033576. The cubic root of 10117016 is about 216.2805567878.

Adding to 10117016 its reverse (61071101), we get a palindrome (71188117).

The spelling of 10117016 in words is "ten million, one hundred seventeen thousand, sixteen".