1105506556135 has 16 divisors (see below), whose sum is σ = 1332724798080. Its totient is φ = 880336638720.

The previous prime is 1105506556109. The next prime is 1105506556139. The reversal of 1105506556135 is 5316556055011.

It is a de Polignac number, because none of the positive numbers 2^k-1105506556135 is a prime.

It is a super-2 number, since 2×1105506556135² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1105506556091 and 1105506556100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105506556139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363045 + ... + 1530625.

It is an arithmetic number, because the mean of its divisors is an integer number (83295299880).

Almost surely, 2^{1105506556135} is an apocalyptic number.

1105506556135 is a deficient number, since it is larger than the sum of its proper divisors (227218241945).

1105506556135 is a wasteful number, since it uses less digits than its factorization.

1105506556135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168458.

The product of its (nonzero) digits is 337500, while the sum is 43.

The spelling of 1105506556135 in words is "one trillion, one hundred five billion, five hundred six million, five hundred fifty-six thousand, one hundred thirty-five".