109961 has 2 divisors, whose sum is σ = 109962. Its totient is φ = 109960.

The previous prime is 109943. The next prime is 109987. The reversal of 109961 is 169901.

It is an a-pointer prime, because the next prime (109987) can be obtained adding 109961 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109561 + 400 = 331^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 109961 - 2⁶ = 109897 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 109961.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109961.

It is not a weakly prime, because it can be changed into another prime (109661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54980 + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (54981).

2¹⁰⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

109961 is an equidigital number, since it uses as much as digits as its factorization.

109961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 109961 is about 331.6036791111. The cubic root of 109961 is about 47.9085353142.

The spelling of 109961 in words is "one hundred nine thousand, nine hundred sixty-one".