107365 has 8 divisors (see below), whose sum is σ = 130680. Its totient is φ = 84672.

The previous prime is 107357. The next prime is 107377. The reversal of 107365 is 563701.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 58081 = 222^2 + 241^2 .

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 107365 - 2³ = 107357 is a prime.

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 107365.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 643.

It is an arithmetic number, because the mean of its divisors is an integer number (16335).

2¹⁰⁷³⁶⁵ is an apocalyptic number.

It is an amenable number.

107365 is a deficient number, since it is larger than the sum of its proper divisors (23315).

107365 is a wasteful number, since it uses less digits than its factorization.

107365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 107365 is about 327.6659884700. The cubic root of 107365 is about 47.5285147348.

The spelling of 107365 in words is "one hundred seven thousand, three hundred sixty-five".