10116510006006 has 64 divisors (see below), whose sum is σ = 22805531965440. Its totient is φ = 3323809663200.

The previous prime is 10116510005983. The next prime is 10116510006047. The reversal of 10116510006006 is 60060001561101.

10116510006006 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 6 + 51 + 0 + 0 + 0 + 600 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2942680 + ... + 5375163.

It is an arithmetic number, because the mean of its divisors is an integer number (356336436960).

Almost surely, 2^{10116510006006} is an apocalyptic number.

10116510006006 is an abundant number, since it is smaller than the sum of its proper divisors (12689021959434).

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

10116510006006 is a wasteful number, since it uses less digits than its factorization.

10116510006006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8318178 (or 8318172 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 10116510006006 its reverse (60060001561101), we get a palindrome (70176511567107).

The spelling of 10116510006006 in words is "ten trillion, one hundred sixteen billion, five hundred ten million, six thousand, six".