105947 has 4 divisors (see below), whose sum is σ = 108000. Its totient is φ = 103896.

The previous prime is 105943. The next prime is 105953. The reversal of 105947 is 749501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 749501 = 23 ⋅32587.

It is a cyclic number.

It is not a de Polignac number, because 105947 - 2² = 105943 is a prime.

It is a super-2 number, since 2×105947² = 22449533618, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105947.

It is not an unprimeable number, because it can be changed into a prime (105943) 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, 947 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2¹⁰⁵⁹⁴⁷ is an apocalyptic number.

105947 is a deficient number, since it is larger than the sum of its proper divisors (2053).

105947 is an equidigital number, since it uses as much as digits as its factorization.

105947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105947 is about 325.4950076422. The cubic root of 105947 is about 47.3183458908.

It can be divided in two parts, 10594 and 7, that added together give a palindrome (10601).

The spelling of 105947 in words is "one hundred five thousand, nine hundred forty-seven".