106365 has 16 divisors (see below), whose sum is σ = 194688. Its totient is φ = 48576.

The previous prime is 106363. The next prime is 106367. The reversal of 106365 is 563601.

It is an interprime number because it is at equal distance from previous prime (106363) and next prime (106367).

It is not a de Polignac number, because 106365 - 2¹ = 106363 is a prime.

It is a super-2 number, since 2×106365² = 22627026450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 106365.

It is not an unprimeable number, because it can be changed into a prime (106363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2¹⁰⁶³⁶⁵ is an apocalyptic number.

106365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106365 is a deficient number, since it is larger than the sum of its proper divisors (88323).

106365 is a wasteful number, since it uses less digits than its factorization.

106365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106365 is about 326.1364745011. The cubic root of 106365 is about 47.3804936740.

Adding to 106365 its reverse (563601), we get a palindrome (669966).

It can be divided in two parts, 1063 and 65, that added together give a triangular number (1128 = T₄₇).

The spelling of 106365 in words is "one hundred six thousand, three hundred sixty-five".