105387 has 4 divisors (see below), whose sum is σ = 140520. Its totient is φ = 70256.

The previous prime is 105379. The next prime is 105389. The reversal of 105387 is 783501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 783501 = 3 ⋅261167.

It is a cyclic number.

It is not a de Polignac number, because 105387 - 2³ = 105379 is a prime.

It is a super-2 number, since 2×105387² = 22212839538, which contains 22 as substring.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (105389) 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 3 ways as a sum of consecutive naturals, for example, 17562 + ... + 17567.

It is an arithmetic number, because the mean of its divisors is an integer number (35130).

2¹⁰⁵³⁸⁷ is an apocalyptic number.

105387 is a deficient number, since it is larger than the sum of its proper divisors (35133).

105387 is an equidigital number, since it uses as much as digits as its factorization.

105387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35132.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 105387 is about 324.6336396617. The cubic root of 105387 is about 47.2348289806.

Adding to 105387 its reverse (783501), we get a palindrome (888888).

The spelling of 105387 in words is "one hundred five thousand, three hundred eighty-seven".