100365 has 8 divisors (see below), whose sum is σ = 160608. Its totient is φ = 53520.

The previous prime is 100363. The next prime is 100379. The reversal of 100365 is 563001.

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

It is not a de Polignac number, because 100365 - 2¹ = 100363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6691 = 100365 / (1 + 0 + 0 + 3 + 6 + 5).

It is a Curzon number.

100365 is a lucky number.

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 100365.

It is not an unprimeable number, because it can be changed into a prime (100361) 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, 3331 + ... + 3360.

It is an arithmetic number, because the mean of its divisors is an integer number (20076).

2¹⁰⁰³⁶⁵ is an apocalyptic number.

100365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100365 is a deficient number, since it is larger than the sum of its proper divisors (60243).

100365 is an equidigital number, since it uses as much as digits as its factorization.

100365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6699.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100365 is about 316.8043560307. The cubic root of 100365 is about 46.4722924308.

Adding to 100365 its reverse (563001), we get a palindrome (663366).

It can be divided in two parts, 100 and 365, that added together give a triangular number (465 = T₃₀).

The spelling of 100365 in words is "one hundred thousand, three hundred sixty-five".