110127289164025 has 243 divisors, whose sum is σ = 166766465618829. Its totient is φ = 71931136032000.

The previous prime is 110127289164019. The next prime is 110127289164089. The reversal of 110127289164025 is 520461982721011.

The square root of 110127289164025 is 10494155.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46354351410409 + 63772937753616 = 6808403^2 + 7985796^2 .

It is not a de Polignac number, because 110127289164025 - 2³ = 110127289164017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110127289164025.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1069196982124 + ... + 1069196982226.

Almost surely, 2^{110127289164025} is an apocalyptic number.

110127289164025 is the 10494155-th square number.

110127289164025 is the 5247078-th centered octagonal number.

It is an amenable number.

110127289164025 is a deficient number, since it is larger than the sum of its proper divisors (56639176454804).

110127289164025 is an frugal number, since it uses more digits than its factorization.

110127289164025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

110127289164025 divided by its sum of digits (49) gives a square (2247495697225 = 1499165²).

The spelling of 110127289164025 in words is "one hundred ten trillion, one hundred twenty-seven billion, two hundred eighty-nine million, one hundred sixty-four thousand, twenty-five".