105161 has 8 divisors (see below), whose sum is σ = 122304. Its totient is φ = 88560.

The previous prime is 105143. The next prime is 105167. The reversal of 105161 is 161501.

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 105161 - 2⁶ = 105097 is a prime.

It is a super-2 number, since 2×105161² = 22117671842, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105161.

It is not an unprimeable number, because it can be changed into a prime (105167) 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, 491 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2¹⁰⁵¹⁶¹ is an apocalyptic number.

It is an amenable number.

105161 is a deficient number, since it is larger than the sum of its proper divisors (17143).

105161 is an equidigital number, since it uses as much as digits as its factorization.

105161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 105161 is about 324.2853681559. The cubic root of 105161 is about 47.2010401475.

Adding to 105161 its reverse (161501), we get a palindrome (266662).

The spelling of 105161 in words is "one hundred five thousand, one hundred sixty-one".