105364 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 43680.

The previous prime is 105361. The next prime is 105367. The reversal of 105364 is 463501.

It is an interprime number because it is at equal distance from previous prime (105361) and next prime (105367).

It is a super-2 number, since 2×105364² = 22203144992, 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, 1449 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁰⁵³⁶⁴ is an apocalyptic number.

105364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

105364 is an abundant number, since it is smaller than the sum of its proper divisors (112364).

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

105364 is a wasteful number, since it uses less digits than its factorization.

105364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105364 is about 324.5982131805. The cubic root of 105364 is about 47.2313925033.

Adding to 105364 its reverse (463501), we get a palindrome (568865).

The spelling of 105364 in words is "one hundred five thousand, three hundred sixty-four".