105505332225 has 12 divisors (see below), whose sum is σ = 174435482736. Its totient is φ = 56269510480.

The previous prime is 105505332209. The next prime is 105505332259. The reversal of 105505332225 is 522233505501.

It is not a de Polignac number, because 105505332225 - 2⁴ = 105505332209 is a prime.

It is a super-2 number, since 2×105505332225² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703368807 + ... + 703368956.

It is an arithmetic number, because the mean of its divisors is an integer number (14536290228).

Almost surely, 2^105505332225 is an apocalyptic number.

105505332225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105505332225 is a deficient number, since it is larger than the sum of its proper divisors (68930150511).

105505332225 is a wasteful number, since it uses less digits than its factorization.

105505332225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406737776 (or 1406737771 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

Adding to 105505332225 its reverse (522233505501), we get a palindrome (627738837726).

The spelling of 105505332225 in words is "one hundred five billion, five hundred five million, three hundred thirty-two thousand, two hundred twenty-five".