105045 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 54464.

The previous prime is 105037. The next prime is 105071. The reversal of 105045 is 540501.

It is a cyclic number.

It is not a de Polignac number, because 105045 - 2³ = 105037 is a prime.

It is a super-2 number, since 2×105045² = 22068904050, 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, 631 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹⁰⁵⁰⁴⁵ is an apocalyptic number.

105045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105045 is a deficient number, since it is larger than the sum of its proper divisors (67755).

105045 is a wasteful number, since it uses less digits than its factorization.

105045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

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

The square root of 105045 is about 324.1064639898. The cubic root of 105045 is about 47.1836784034.

Adding to 105045 its reverse (540501), we get a palindrome (645546).

The spelling of 105045 in words is "one hundred five thousand, forty-five".