110605217135225 has 48 divisors (see below), whose sum is σ = 138574117407600. Its totient is φ = 87570550502400.

The previous prime is 110605217135219. The next prime is 110605217135417. The reversal of 110605217135225 is 522531712506011.

It can be written as a sum of positive squares in 24 ways, for example, as 107504050349056 + 3101166786169 = 10368416^2 + 1761013^2 .

It is not a de Polignac number, because 110605217135225 - 2²⁰ = 110605216086649 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249831079 + ... + 1249919571.

It is an arithmetic number, because the mean of its divisors is an integer number (2886960779325).

Almost surely, 2^{110605217135225} is an apocalyptic number.

It is an amenable number.

110605217135225 is a deficient number, since it is larger than the sum of its proper divisors (27968900272375).

110605217135225 is a wasteful number, since it uses less digits than its factorization.

110605217135225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89870 (or 89865 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 110605217135225 in words is "one hundred ten trillion, six hundred five billion, two hundred seventeen million, one hundred thirty-five thousand, two hundred twenty-five".