110393385025 has 81 divisors (see below), whose sum is σ = 175231956963. Its totient is φ = 68736914400.

The previous prime is 110393385001. The next prime is 110393385071. The reversal of 110393385025 is 520583393011.

The square root of 110393385025 is 332255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39741618609 + 70651766416 = 199353^2 + 265804^2 .

It is not a de Polignac number, because 110393385025 - 2¹¹ = 110393382977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127917744 + ... + 127918606.

Almost surely, 2^110393385025 is an apocalyptic number.

110393385025 is the 332255-th square number.

110393385025 is the 166128-th centered octagonal number.

It is an amenable number.

110393385025 is a deficient number, since it is larger than the sum of its proper divisors (64838571938).

110393385025 is an frugal number, since it uses more digits than its factorization.

110393385025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 110393385025 in words is "one hundred ten billion, three hundred ninety-three million, three hundred eighty-five thousand, twenty-five".