105513205225 has 24 divisors (see below), whose sum is σ = 131163872832. Its totient is φ = 84199569600.

The previous prime is 105513205219. The next prime is 105513205243. The reversal of 105513205225 is 522502315501.

It is not a de Polignac number, because 105513205225 - 2¹⁷ = 105513074153 is a prime.

It is a super-2 number, since 2×105513205225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 23 ways as a sum of consecutive naturals, for example, 18761764 + ... + 18767386.

It is an arithmetic number, because the mean of its divisors is an integer number (5465161368).

Almost surely, 2^105513205225 is an apocalyptic number.

It is an amenable number.

105513205225 is a deficient number, since it is larger than the sum of its proper divisors (25650667607).

105513205225 is an equidigital number, since it uses as much as digits as its factorization.

105513205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7377 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 105513205225 in words is "one hundred five billion, five hundred thirteen million, two hundred five thousand, two hundred twenty-five".