10104516135 has 72 divisors (see below), whose sum is σ = 20807706816. Its totient is φ = 4520880000.

The previous prime is 10104516077. The next prime is 10104516181. The reversal of 10104516135 is 53161540101.

10104516135 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 45 + 1 + 613 + 5 = 666.

10104516135 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 10104516135 - 2¹¹ = 10104514087 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10104516099 and 10104516108.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 54885 + ... + 152385.

It is an arithmetic number, because the mean of its divisors is an integer number (288995928).

Almost surely, 2^10104516135 is an apocalyptic number.

10104516135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10104516135 is an abundant number, since it is smaller than the sum of its proper divisors (10703190681).

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

10104516135 is a wasteful number, since it uses less digits than its factorization.

10104516135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97573 (or 97563 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10104516135 in words is "ten billion, one hundred four million, five hundred sixteen thousand, one hundred thirty-five".