135132103105 has 32 divisors (see below), whose sum is σ = 165012251040. Its totient is φ = 106221404160.

The previous prime is 135132103103. The next prime is 135132103121. The reversal of 135132103105 is 501301231531.

It can be written as a sum of positive squares in 16 ways, for example, as 121310103616 + 13821999489 = 348296^2 + 117567^2 .

It is not a de Polignac number, because 135132103105 - 2¹ = 135132103103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135132103105.

It is not an unprimeable number, because it can be changed into a prime (135132103103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81551437 + ... + 81553093.

It is an arithmetic number, because the mean of its divisors is an integer number (5156632845).

Almost surely, 2^135132103105 is an apocalyptic number.

It is an amenable number.

135132103105 is a deficient number, since it is larger than the sum of its proper divisors (29880147935).

135132103105 is a wasteful number, since it uses less digits than its factorization.

135132103105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869.

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 135132103105 its reverse (501301231531), we get a palindrome (636433334636).

The spelling of 135132103105 in words is "one hundred thirty-five billion, one hundred thirty-two million, one hundred three thousand, one hundred five".