105005225205 has 20 divisors (see below), whose sum is σ = 188231589612. Its totient is φ = 56002786560.

The previous prime is 105005225197. The next prime is 105005225231. The reversal of 105005225205 is 502522500501.

It can be written as a sum of positive squares in 2 ways, for example, as 33238029969 + 71767195236 = 182313^2 + 267894^2 .

It is not a de Polignac number, because 105005225205 - 2³ = 105005225197 is a prime.

It is a super-2 number, since 2×105005225205² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 129635676 + ... + 129636485.

Almost surely, 2^105005225205 is an apocalyptic number.

105005225205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105005225205 is a deficient number, since it is larger than the sum of its proper divisors (83226364407).

105005225205 is an equidigital number, since it uses as much as digits as its factorization.

105005225205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259272178 (or 259272169 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

Adding to 105005225205 its reverse (502522500501), we get a palindrome (607527725706).

The spelling of 105005225205 in words is "one hundred five billion, five million, two hundred twenty-five thousand, two hundred five".