130105264536 has 384 divisors, whose sum is σ = 407799100800. Its totient is φ = 37164441600.

The previous prime is 130105264459. The next prime is 130105264543. The reversal of 130105264536 is 635462501031.

130105264536 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 5 + 2 + 645 + 3 + 6 = 666.

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 130105264536.

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 95 ways as a sum of consecutive naturals, for example, 115238820 + ... + 115239948.

It is an arithmetic number, because the mean of its divisors is an integer number (1061976825).

Almost surely, 2^130105264536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130105264536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203899550400).

130105264536 is an abundant number, since it is smaller than the sum of its proper divisors (277693836264).

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

130105264536 is a wasteful number, since it uses less digits than its factorization.

130105264536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 130105264536 its reverse (635462501031), we get a palindrome (765567765567).

The spelling of 130105264536 in words is "one hundred thirty billion, one hundred five million, two hundred sixty-four thousand, five hundred thirty-six".