10010616 has 64 divisors (see below), whose sum is σ = 31207680. Its totient is φ = 2599680.

The previous prime is 10010593. The next prime is 10010629. The reversal of 10010616 is 61601001.

It is a junction number, because it is equal to n+sod(n) for n = 10010595 and 10010604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (487620).

Almost surely, 2^10010616 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 10010616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603840).

10010616 is an abundant number, since it is smaller than the sum of its proper divisors (21197064).

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

10010616 is a wasteful number, since it uses less digits than its factorization.

10010616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10010616 is about 3163.9557519030. The cubic root of 10010616 is about 215.5196803031.

Adding to 10010616 its reverse (61601001), we get a palindrome (71611617).

The spelling of 10010616 in words is "ten million, ten thousand, six hundred sixteen".