10006308675 has 336 divisors, whose sum is σ = 22248933120. Its totient is φ = 4408992000.

The previous prime is 10006308671. The next prime is 10006308691. The reversal of 10006308675 is 57680360001.

10006308675 is a `hidden beast` number, since 10 + 0 + 0 + 630 + 8 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 10006308675 - 2² = 10006308671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10006308671) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 140933890 + ... + 140933960.

Almost surely, 2^10006308675 is an apocalyptic number.

10006308675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006308675 is an abundant number, since it is smaller than the sum of its proper divisors (12242624445).

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

10006308675 is a wasteful number, since it uses less digits than its factorization.

10006308675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 10006308675 its reverse (57680360001), we get a palindrome (67686668676).

The spelling of 10006308675 in words is "ten billion, six million, three hundred eight thousand, six hundred seventy-five".