105281 has 8 divisors (see below), whose sum is σ = 121824. Its totient is φ = 89920.

The previous prime is 105277. The next prime is 105319. The reversal of 105281 is 182501.

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 105281 - 2² = 105277 is a prime.

It is a super-2 number, since 2×105281² = 22168177922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105281.

It is not an unprimeable number, because it can be changed into a prime (105211) 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, 95 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (15228).

2¹⁰⁵²⁸¹ is an apocalyptic number.

105281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105281 is a deficient number, since it is larger than the sum of its proper divisors (16543).

105281 is a wasteful number, since it uses less digits than its factorization.

105281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591.

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105281 is about 324.4703376273. The cubic root of 105281 is about 47.2189871422.

Adding to 105281 its reverse (182501), we get a palindrome (287782).

The spelling of 105281 in words is "one hundred five thousand, two hundred eighty-one".