105355 has 8 divisors (see below), whose sum is σ = 133200. Its totient is φ = 79776.

The previous prime is 105341. The next prime is 105359. The reversal of 105355 is 553501.

105355 = 33² + 34² + ... + 70².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105355 - 2⁵ = 105323 is a prime.

It is a super-2 number, since 2×105355² = 22199352050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105359) 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, 460 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (16650).

2¹⁰⁵³⁵⁵ is an apocalyptic number.

105355 is a deficient number, since it is larger than the sum of its proper divisors (27845).

105355 is a wasteful number, since it uses less digits than its factorization.

105355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 105355 is about 324.5843495919. The cubic root of 105355 is about 47.2300476587.

Adding to 105355 its reverse (553501), we get a palindrome (658856).

The spelling of 105355 in words is "one hundred five thousand, three hundred fifty-five".