105147 has 12 divisors (see below), whose sum is σ = 173680. Its totient is φ = 60048.

The previous prime is 105143. The next prime is 105167. The reversal of 105147 is 741501.

It is not a de Polignac number, because 105147 - 2² = 105143 is a prime.

It is a super-2 number, since 2×105147² = 22111783218, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (105143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772 + ... + 897.

2¹⁰⁵¹⁴⁷ is an apocalyptic number.

105147 is a deficient number, since it is larger than the sum of its proper divisors (68533).

105147 is a wasteful number, since it uses less digits than its factorization.

105147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105147 is about 324.2637815113. The cubic root of 105147 is about 47.1989454423.

Adding to 105147 its reverse (741501), we get a palindrome (846648).

It can be divided in two parts, 105 and 147, that added together give a palindrome (252).

The spelling of 105147 in words is "one hundred five thousand, one hundred forty-seven".