10006010616 has 64 divisors (see below), whose sum is σ = 29510830080. Its totient is φ = 2766637440.

The previous prime is 10006010611. The next prime is 10006010683. The reversal of 10006010616 is 61601060001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10006010592 and 10006010601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006010611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 955431 + ... + 965846.

It is an arithmetic number, because the mean of its divisors is an integer number (461106720).

Almost surely, 2^10006010616 is an apocalyptic number.

It is an amenable number.

10006010616 is an abundant number, since it is smaller than the sum of its proper divisors (19504819464).

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

10006010616 is a wasteful number, since it uses less digits than its factorization.

10006010616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921324 (or 1921320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10006010616 its reverse (61601060001), we get a palindrome (71607070617).

The spelling of 10006010616 in words is "ten billion, six million, ten thousand, six hundred sixteen".