105005561058 has 32 divisors (see below), whose sum is σ = 233877283200. Its totient is φ = 34922114928.

The previous prime is 105005561051. The next prime is 105005561083. The reversal of 105005561058 is 850165500501.

105005561058 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 556 + 1 + 0 + 58 = 666.

It is a super-2 number, since 2×105005561058² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105005561051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191041 + ... + 2238452.

It is an arithmetic number, because the mean of its divisors is an integer number (7308665100).

Almost surely, 2^105005561058 is an apocalyptic number.

105005561058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105005561058 is an abundant number, since it is smaller than the sum of its proper divisors (128871722142).

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

105005561058 is a wasteful number, since it uses less digits than its factorization.

105005561058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429943 (or 4429937 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 105005561058 in words is "one hundred five billion, five million, five hundred sixty-one thousand, fifty-eight".