105891 has 8 divisors (see below), whose sum is σ = 144384. Its totient is φ = 69000.

The previous prime is 105883. The next prime is 105899. The reversal of 105891 is 198501.

It is an interprime number because it is at equal distance from previous prime (105883) and next prime (105899).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105891 - 2³ = 105883 is a prime.

It is a super-2 number, since 2×105891² = 22425807762, which contains 22 as substring.

105891 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105891.

It is not an unprimeable number, because it can be changed into a prime (105899) 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, 235 + ... + 516.

It is an arithmetic number, because the mean of its divisors is an integer number (18048).

2¹⁰⁵⁸⁹¹ is an apocalyptic number.

105891 is a deficient number, since it is larger than the sum of its proper divisors (38493).

105891 is an equidigital number, since it uses as much as digits as its factorization.

105891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801.

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 105891 is about 325.4089734473. The cubic root of 105891 is about 47.3100074626.

The spelling of 105891 in words is "one hundred five thousand, eight hundred ninety-one".