110261 has 2 divisors, whose sum is σ = 110262. Its totient is φ = 110260.

The previous prime is 110251. The next prime is 110269. The reversal of 110261 is 162011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 14161 = 310^2 + 119^2 .

It is an emirp because it is prime and its reverse (162011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110261 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110261.

It is not a weakly prime, because it can be changed into another prime (110269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55130 + 55131.

It is an arithmetic number, because the mean of its divisors is an integer number (55131).

2¹¹⁰²⁶¹ is an apocalyptic number.

110261 is the 149-th centered decagonal number.

It is an amenable number.

110261 is a deficient number, since it is larger than the sum of its proper divisors (1).

110261 is an equidigital number, since it uses as much as digits as its factorization.

110261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 110261 is about 332.0557182161. The cubic root of 110261 is about 47.9520644132.

Adding to 110261 its reverse (162011), we get a palindrome (272272).

The spelling of 110261 in words is "one hundred ten thousand, two hundred sixty-one".