10656130103136 has 72 divisors (see below), whose sum is σ = 34632422841744. Its totient is φ = 3044608600320.

The previous prime is 10656130103089. The next prime is 10656130103189. The reversal of 10656130103136 is 63130103165601.

10656130103136 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 613 + 0 + 1 + 0 + 3 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10656130103136² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10656130103136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2642887395 + ... + 2642891426.

It is an arithmetic number, because the mean of its divisors is an integer number (481005872802).

Almost surely, 2^{10656130103136} is an apocalyptic number.

10656130103136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10656130103136 is an abundant number, since it is smaller than the sum of its proper divisors (23976292738608).

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

10656130103136 is a wasteful number, since it uses less digits than its factorization.

10656130103136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285778844 (or 5285778833 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 10656130103136 its reverse (63130103165601), we get a palindrome (73786233268737).

The spelling of 10656130103136 in words is "ten trillion, six hundred fifty-six billion, one hundred thirty million, one hundred three thousand, one hundred thirty-six".