110961 has 6 divisors (see below), whose sum is σ = 160290. Its totient is φ = 73968.

The previous prime is 110951. The next prime is 110969. The reversal of 110961 is 169011.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 53361 = 240^2 + 231^2 .

It is not a de Polignac number, because 110961 - 2¹⁰ = 109937 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 110961.

It is not an unprimeable number, because it can be changed into a prime (110969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6156 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (26715).

2¹¹⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

110961 is a deficient number, since it is larger than the sum of its proper divisors (49329).

110961 is a wasteful number, since it uses less digits than its factorization.

110961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 110961 is about 333.1080905652. The cubic root of 110961 is about 48.0533261514.

Adding to 110961 its reverse (169011), we get a palindrome (279972).

The spelling of 110961 in words is "one hundred ten thousand, nine hundred sixty-one".