13105056600 has 288 divisors, whose sum is σ = 44764434000. Its totient is φ = 3435494400.

The previous prime is 13105056589. The next prime is 13105056617. The reversal of 13105056600 is 665050131.

It is a happy number.

13105056600 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 0 + 56 + 600 = 666.

13105056600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35134014 + ... + 35134386.

Almost surely, 2^13105056600 is an apocalyptic number.

13105056600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13105056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22382217000).

13105056600 is an abundant number, since it is smaller than the sum of its proper divisors (31659377400).

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

13105056600 is a wasteful number, since it uses less digits than its factorization.

13105056600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13105056600 in words is "thirteen billion, one hundred five million, fifty-six thousand, six hundred".