105363 has 12 divisors (see below), whose sum is σ = 159120. Its totient is φ = 67056.

The previous prime is 105361. The next prime is 105367. The reversal of 105363 is 363501.

It is not a de Polignac number, because 105363 - 2¹ = 105361 is a prime.

It is a super-2 number, since 2×105363² = 22202723538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (13260).

2¹⁰⁵³⁶³ is an apocalyptic number.

105363 is a deficient number, since it is larger than the sum of its proper divisors (53757).

105363 is a wasteful number, since it uses less digits than its factorization.

105363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 105363 is about 324.5966728110. The cubic root of 105363 is about 47.2312430799.

Adding to 105363 its reverse (363501), we get a palindrome (468864).

The spelling of 105363 in words is "one hundred five thousand, three hundred sixty-three".