105461 has 4 divisors (see below), whose sum is σ = 106272. Its totient is φ = 104652.

The previous prime is 105449. The next prime is 105467. The reversal of 105461 is 164501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 164501 = 179 ⋅919.

It is a cyclic number.

It is not a de Polignac number, because 105461 - 2⁶ = 105397 is a prime.

It is a super-2 number, since 2×105461² = 22244045042, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105461.

It is not an unprimeable number, because it can be changed into a prime (105467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (26568).

2¹⁰⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

105461 is a deficient number, since it is larger than the sum of its proper divisors (811).

105461 is an equidigital number, since it uses as much as digits as its factorization.

105461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105461 is about 324.7475942944. The cubic root of 105461 is about 47.2458820819.

Adding to 105461 its reverse (164501), we get a palindrome (269962).

The spelling of 105461 in words is "one hundred five thousand, four hundred sixty-one".