106305 has 16 divisors (see below), whose sum is σ = 179520. Its totient is φ = 53568.

The previous prime is 106303. The next prime is 106307. The reversal of 106305 is 503601.

106305 = T₄₅ + T₄₆ + ... + T₈₉.

It is an interprime number because it is at equal distance from previous prime (106303) and next prime (106307).

It is not a de Polignac number, because 106305 - 2¹ = 106303 is a prime.

It is a super-2 number, since 2×106305² = 22601506050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106303) 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, 99 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (11220).

2¹⁰⁶³⁰⁵ is an apocalyptic number.

106305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106305 is a deficient number, since it is larger than the sum of its proper divisors (73215).

106305 is a wasteful number, since it uses less digits than its factorization.

106305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

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

The square root of 106305 is about 326.0444754938. The cubic root of 106305 is about 47.3715829598.

Adding to 106305 its reverse (503601), we get a palindrome (609906).

The spelling of 106305 in words is "one hundred six thousand, three hundred five".