109968961 has 2 divisors, whose sum is σ = 109968962. Its totient is φ = 109968960.

The previous prime is 109968959. The next prime is 109968967. The reversal of 109968961 is 169869901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62964225 + 47004736 = 7935^2 + 6856^2 .

It is a cyclic number.

It is not a de Polignac number, because 109968961 - 2¹ = 109968959 is a prime.

Together with 109968959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (109968967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54984480 + 54984481.

It is an arithmetic number, because the mean of its divisors is an integer number (54984481).

Almost surely, 2^109968961 is an apocalyptic number.

It is an amenable number.

109968961 is a deficient number, since it is larger than the sum of its proper divisors (1).

109968961 is an equidigital number, since it uses as much as digits as its factorization.

109968961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 49.

The square root of 109968961 is about 10486.6086510368. The cubic root of 109968961 is about 479.0969145331.

The spelling of 109968961 in words is "one hundred nine million, nine hundred sixty-eight thousand, nine hundred sixty-one".