109832961 has 24 divisors (see below), whose sum is σ = 171474240. Its totient is φ = 62348832.

The previous prime is 109832951. The next prime is 109832963. The reversal of 109832961 is 169238901.

It is not a de Polignac number, because 109832961 - 2⁵ = 109832929 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (109832963) 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 23 ways as a sum of consecutive naturals, for example, 20700 + ... + 25458.

It is an arithmetic number, because the mean of its divisors is an integer number (7144760).

Almost surely, 2^109832961 is an apocalyptic number.

It is an amenable number.

109832961 is a deficient number, since it is larger than the sum of its proper divisors (61641279).

109832961 is a wasteful number, since it uses less digits than its factorization.

109832961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 109832961 is about 10480.1221844022. The cubic root of 109832961 is about 478.8993313288.

The spelling of 109832961 in words is "one hundred nine million, eight hundred thirty-two thousand, nine hundred sixty-one".