105505106133 has 32 divisors (see below), whose sum is σ = 162027012096. Its totient is φ = 59818779648.

The previous prime is 105505106093. The next prime is 105505106191. The reversal of 105505106133 is 331601505501.

It is not a de Polignac number, because 105505106133 - 2⁹ = 105505105621 is a prime.

It is a super-2 number, since 2×105505106133² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105505106133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505006133) 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, 1518316 + ... + 1586282.

It is an arithmetic number, because the mean of its divisors is an integer number (5063344128).

Almost surely, 2^105505106133 is an apocalyptic number.

It is an amenable number.

105505106133 is a deficient number, since it is larger than the sum of its proper divisors (56521905963).

105505106133 is a wasteful number, since it uses less digits than its factorization.

105505106133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68553.

The product of its (nonzero) digits is 6750, while the sum is 30.

The spelling of 105505106133 in words is "one hundred five billion, five hundred five million, one hundred six thousand, one hundred thirty-three".