104961 has 8 divisors (see below), whose sum is σ = 142560. Its totient is φ = 68672.

The previous prime is 104959. The next prime is 104971. The reversal of 104961 is 169401.

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 104961 - 2¹ = 104959 is a prime.

It is a super-2 number, since 2×104961² = 22033623042, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104961.

It is not an unprimeable number, because it can be changed into a prime (104911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (17820).

It is a Proth number, since it is equal to 205 ⋅ 2⁹ + 1 and 205 < 2⁹.

2¹⁰⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

104961 is a deficient number, since it is larger than the sum of its proper divisors (37599).

104961 is an equidigital number, since it uses as much as digits as its factorization.

104961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 104961 is about 323.9768510249. The cubic root of 104961 is about 47.1710981254.

The spelling of 104961 in words is "one hundred four thousand, nine hundred sixty-one".