105961 has 8 divisors (see below), whose sum is σ = 117504. Its totient is φ = 95040.

The previous prime is 105953. The next prime is 105967. The reversal of 105961 is 169501.

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 105961 - 2³ = 105953 is a prime.

It is a super-2 number, since 2×105961² = 22455467042, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 526.

It is an arithmetic number, because the mean of its divisors is an integer number (14688).

2¹⁰⁵⁹⁶¹ is an apocalyptic number.

It is an amenable number.

105961 is a deficient number, since it is larger than the sum of its proper divisors (11543).

105961 is a wasteful number, since it uses less digits than its factorization.

105961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 105961 is about 325.5165126380. The cubic root of 105961 is about 47.3204300388.

The spelling of 105961 in words is "one hundred five thousand, nine hundred sixty-one".