110210056441 has 9 divisors (see below), whose sum is σ = 113890537263. Its totient is φ = 106644933960.

The previous prime is 110210056393. The next prime is 110210056487. The reversal of 110210056441 is 144650012011.

The square root of 110210056441 is 331979.

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., 106131956841 + 4078099600 = 325779^2 + 63860^2 .

It is not a de Polignac number, because 110210056441 - 2¹⁷ = 110209925369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110210056241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10285995 + ... + 10296703.

Almost surely, 2^110210056441 is an apocalyptic number.

110210056441 is the 331979-th square number.

110210056441 is the 165990-th centered octagonal number.

It is an amenable number.

110210056441 is a deficient number, since it is larger than the sum of its proper divisors (3680480822).

110210056441 is an frugal number, since it uses more digits than its factorization.

110210056441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21480 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Multiplying 110210056441 by its sum of digits (25), we get a square (2755251411025 = 1659895²).

Adding to 110210056441 its reverse (144650012011), we get a palindrome (254860068452).

The spelling of 110210056441 in words is "one hundred ten billion, two hundred ten million, fifty-six thousand, four hundred forty-one".