110461 has 8 divisors (see below), whose sum is σ = 123480. Its totient is φ = 98112.

The previous prime is 110459. The next prime is 110477. The reversal of 110461 is 164011.

It can be written as a sum of positive squares in 4 ways, for example, as 24025 + 86436 = 155^2 + 294^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110461 - 2¹ = 110459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (15435).

2¹¹⁰⁴⁶¹ is an apocalyptic number.

It is an amenable number.

110461 is a deficient number, since it is larger than the sum of its proper divisors (13019).

110461 is a wasteful number, since it uses less digits than its factorization.

110461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 110461 is about 332.3567360533. The cubic root of 110461 is about 47.9810399655.

Adding to 110461 its reverse (164011), we get a palindrome (274472).

The spelling of 110461 in words is "one hundred ten thousand, four hundred sixty-one".