105005555052 has 24 divisors (see below), whose sum is σ = 259425489456. Its totient is φ = 32942919168.

The previous prime is 105005555041. The next prime is 105005555071. The reversal of 105005555052 is 250555500501.

It is a super-2 number, since 2×105005555052² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 257366353 + ... + 257366760.

It is an arithmetic number, because the mean of its divisors is an integer number (10809395394).

Almost surely, 2^105005555052 is an apocalyptic number.

105005555052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105005555052 is an abundant number, since it is smaller than the sum of its proper divisors (154419934404).

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

105005555052 is a wasteful number, since it uses less digits than its factorization.

105005555052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514733137 (or 514733135 counting only the distinct ones).

The product of its (nonzero) digits is 31250, while the sum is 33.

The spelling of 105005555052 in words is "one hundred five billion, five million, five hundred fifty-five thousand, fifty-two".