10355 has 8 divisors (see below), whose sum is σ = 13200. Its totient is φ = 7776.

The previous prime is 10343. The next prime is 10357. The reversal of 10355 is 55301.

10355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10355 - 2⁸ = 10099 is a prime.

It is a super-3 number, since 3×10355³ = 3330976466625, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10355.

It is not an unprimeable number, because it can be changed into a prime (10357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (1650).

2¹⁰³⁵⁵ is an apocalyptic number.

10355 is a deficient number, since it is larger than the sum of its proper divisors (2845).

10355 is a wasteful number, since it uses less digits than its factorization.

10355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10355 is about 101.7595204391. The cubic root of 10355 is about 21.7963296573.

Adding to 10355 its reverse (55301), we get a palindrome (65656).

It can be divided in two parts, 103 and 55, that multiplied together give a palindrome (5665).

The spelling of 10355 in words is "ten thousand, three hundred fifty-five".