105005555500 has 48 divisors (see below), whose sum is σ = 231696489024. Its totient is φ = 41569190400.

The previous prime is 105005555483. The next prime is 105005555503. The reversal of 105005555500 is 5555500501.

It is a super-2 number, since 2×105005555500² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005555503) 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, 1034032 + ... + 1131031.

It is an arithmetic number, because the mean of its divisors is an integer number (4827010188).

Almost surely, 2^105005555500 is an apocalyptic number.

105005555500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005555500 is an abundant number, since it is smaller than the sum of its proper divisors (126690933524).

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

105005555500 is a wasteful number, since it uses less digits than its factorization.

105005555500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165179 (or 2165167 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 31.

The spelling of 105005555500 in words is "one hundred five billion, five million, five hundred fifty-five thousand, five hundred".