105089 has 4 divisors (see below), whose sum is σ = 110640. Its totient is φ = 99540.

The previous prime is 105071. The next prime is 105097. The reversal of 105089 is 980501.

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 an emirpimes, since its reverse is a distinct semiprime: 980501 = 113 ⋅8677.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105089 is a prime.

It is a super-2 number, since 2×105089² = 22087395842, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2747 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (27660).

2¹⁰⁵⁰⁸⁹ is an apocalyptic number.

105089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105089 is a deficient number, since it is larger than the sum of its proper divisors (5551).

105089 is an equidigital number, since it uses as much as digits as its factorization.

105089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 105089 is about 324.1743358133. The cubic root of 105089 is about 47.1902653965.

The spelling of 105089 in words is "one hundred five thousand, eighty-nine".