105366 has 16 divisors (see below), whose sum is σ = 223344. Its totient is φ = 33024.

The previous prime is 105361. The next prime is 105367. The reversal of 105366 is 663501.

It is a super-2 number, since 2×105366² = 22203987912, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 415 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (13959).

2¹⁰⁵³⁶⁶ is an apocalyptic number.

105366 is an abundant number, since it is smaller than the sum of its proper divisors (117978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105366 is a wasteful number, since it uses less digits than its factorization.

105366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105366 is about 324.6012938976. The cubic root of 105366 is about 47.2316913473.

Adding to 105366 its reverse (663501), we get a palindrome (768867).

The spelling of 105366 in words is "one hundred five thousand, three hundred sixty-six".