45105 has 16 divisors (see below), whose sum is σ = 75264. Its totient is φ = 23040.

The previous prime is 45083. The next prime is 45119. The reversal of 45105 is 50154.

45105 is nontrivially palindromic in base 9.

It is not a de Polignac number, because 45105 - 2¹³ = 36913 is a prime.

It is a super-2 number, since 2×45105² = 4068922050, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁴⁵¹⁰⁵ is an apocalyptic number.

It is an amenable number.

45105 is a deficient number, since it is larger than the sum of its proper divisors (30159).

45105 is a wasteful number, since it uses less digits than its factorization.

45105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45105 is about 212.3793775299. The cubic root of 45105 is about 35.5965762814.

Adding to 45105 its reverse (50154), we get a palindrome (95259).

The spelling of 45105 in words is "forty-five thousand, one hundred five".