10160640135 has 64 divisors (see below), whose sum is σ = 18670080000. Its totient is φ = 5237447040.

The previous prime is 10160640109. The next prime is 10160640137. The reversal of 10160640135 is 53104606101.

10160640135 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 0 + 640 + 13 + 5 = 666.

10160640135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10160640135 - 2²⁴ = 10143862919 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10160640099 and 10160640108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160640137) 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 63 ways as a sum of consecutive naturals, for example, 5979516 + ... + 5981214.

It is an arithmetic number, because the mean of its divisors is an integer number (291720000).

Almost surely, 2^10160640135 is an apocalyptic number.

10160640135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10160640135 is a deficient number, since it is larger than the sum of its proper divisors (8509439865).

10160640135 is a wasteful number, since it uses less digits than its factorization.

10160640135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10160640135 in words is "ten billion, one hundred sixty million, six hundred forty thousand, one hundred thirty-five".