105381 has 10 divisors (see below), whose sum is σ = 157542. Its totient is φ = 70200.

The previous prime is 105379. The next prime is 105389. The reversal of 105381 is 183501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 50625 = 234^2 + 225^2 .

It is not a de Polignac number, because 105381 - 2¹ = 105379 is a prime.

It is a super-2 number, since 2×105381² = 22210310322, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 1053 and 81 contains 105381 itself.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105389) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 570 + ... + 731.

2¹⁰⁵³⁸¹ is an apocalyptic number.

It is an amenable number.

105381 is a deficient number, since it is larger than the sum of its proper divisors (52161).

105381 is an equidigital number, since it uses as much as digits as its factorization.

105381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 105381 is about 324.6243983437. The cubic root of 105381 is about 47.2339325565.

Adding to 105381 its product of nonzero digits (120), we get a palindrome (105501).

Adding to 105381 its reverse (183501), we get a palindrome (288882).

The spelling of 105381 in words is "one hundred five thousand, three hundred eighty-one".