10160006600 has 48 divisors (see below), whose sum is σ = 23633615700. Its totient is φ = 4062007040.

The previous prime is 10160006587. The next prime is 10160006603. The reversal of 10160006600 is 660006101.

10160006600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1856058724 + 8303947876 = 43082^2 + 91126^2 .

It is a super-2 number, since 2×10160006600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10160006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436046 + ... + 458754.

Almost surely, 2^10160006600 is an apocalyptic number.

10160006600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10160006600 is an abundant number, since it is smaller than the sum of its proper divisors (13473609100).

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

10160006600 is a wasteful number, since it uses less digits than its factorization.

10160006600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 10160006600 in words is "ten billion, one hundred sixty million, six thousand, six hundred".