105505011128 has 64 divisors (see below), whose sum is σ = 223753622400. Its totient is φ = 46198122880.

The previous prime is 105505011121. The next prime is 105505011151. The reversal of 105505011128 is 821110505501.

It is a super-2 number, since 2×105505011128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 105505011128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505011121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1083875 + ... + 1177197.

It is an arithmetic number, because the mean of its divisors is an integer number (3496150350).

Almost surely, 2^105505011128 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 105505011128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111876811200).

105505011128 is an abundant number, since it is smaller than the sum of its proper divisors (118248611272).

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

105505011128 is a wasteful number, since it uses less digits than its factorization.

105505011128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93812 (or 93808 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 29.

Adding to 105505011128 its reverse (821110505501), we get a palindrome (926615516629).

The spelling of 105505011128 in words is "one hundred five billion, five hundred five million, eleven thousand, one hundred twenty-eight".