107355 has 16 divisors (see below), whose sum is σ = 182304. Its totient is φ = 53760.

The previous prime is 107351. The next prime is 107357. The reversal of 107355 is 553701.

It is a happy number.

It is not a de Polignac number, because 107355 - 2² = 107351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (11394).

2¹⁰⁷³⁵⁵ is an apocalyptic number.

107355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107355 is a deficient number, since it is larger than the sum of its proper divisors (74949).

107355 is a wasteful number, since it uses less digits than its factorization.

107355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 107355 is about 327.6507286731. The cubic root of 107355 is about 47.5270390835.

Adding to 107355 its product of nonzero digits (525), we get a triangular number (107880 = T₄₆₄).

It can be divided in two parts, 1073 and 55, that added together give a triangular number (1128 = T₄₇).

The spelling of 107355 in words is "one hundred seven thousand, three hundred fifty-five".