120105 has 24 divisors (see below), whose sum is σ = 221832. Its totient is φ = 59904.

The previous prime is 120103. The next prime is 120121. The reversal of 120105 is 501021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 104976 = 123^2 + 324^2 .

It is not a de Polignac number, because 120105 - 2¹ = 120103 is a prime.

It is a super-2 number, since 2×120105² = 28850422050, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (9243).

2¹²⁰¹⁰⁵ is an apocalyptic number.

120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120105 is a deficient number, since it is larger than the sum of its proper divisors (101727).

120105 is a wasteful number, since it uses less digits than its factorization.

120105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 120105 is about 346.5616828214. The cubic root of 120105 is about 49.3386235298.

Adding to 120105 its reverse (501021), we get a palindrome (621126).

It can be divided in two parts, 120 and 105, that added together give a square (225 = 15²).

The spelling of 120105 in words is "one hundred twenty thousand, one hundred five".