30105 has 16 divisors (see below), whose sum is σ = 53760. Its totient is φ = 15984.

The previous prime is 30103. The next prime is 30109. The reversal of 30105 is 50103.

It is not a de Polignac number, because 30105 - 2¹ = 30103 is a prime.

It is a super-2 number, since 2×30105² = 1812622050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (30103) 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, 24 + ... + 246.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

30105 is a deficient number, since it is larger than the sum of its proper divisors (23655).

30105 is a wasteful number, since it uses less digits than its factorization.

30105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 30105 is about 173.5079248911. The cubic root of 30105 is about 31.1085338946.

Adding to 30105 its reverse (50103), we get a palindrome (80208).

The spelling of 30105 in words is "thirty thousand, one hundred five".