105505106135 has 32 divisors (see below), whose sum is σ = 152760105792. Its totient is φ = 68914298880.

The previous prime is 105505106093. The next prime is 105505106191. The reversal of 105505106135 is 531601505501.

It is not a de Polignac number, because 105505106135 - 2⁶ = 105505106071 is a prime.

It is a super-2 number, since 2×105505106135² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967594 + ... + 2020503.

It is an arithmetic number, because the mean of its divisors is an integer number (4773753306).

Almost surely, 2^105505106135 is an apocalyptic number.

105505106135 is a deficient number, since it is larger than the sum of its proper divisors (47254999657).

105505106135 is a wasteful number, since it uses less digits than its factorization.

105505106135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988163.

The product of its (nonzero) digits is 11250, while the sum is 32.

The spelling of 105505106135 in words is "one hundred five billion, five hundred five million, one hundred six thousand, one hundred thirty-five".