126105 has 16 divisors (see below), whose sum is σ = 230784. Its totient is φ = 57600.

The previous prime is 126097. The next prime is 126107. The reversal of 126105 is 501621.

It is not a de Polignac number, because 126105 - 2³ = 126097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126107) 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, 496 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (14424).

2¹²⁶¹⁰⁵ is an apocalyptic number.

126105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126105 is a deficient number, since it is larger than the sum of its proper divisors (104679).

126105 is a wasteful number, since it uses less digits than its factorization.

126105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 126105 is about 355.1126581805. The cubic root of 126105 is about 50.1469013107.

Adding to 126105 its reverse (501621), we get a palindrome (627726).

It can be divided in two parts, 126 and 105, that added together give a triangular number (231 = T₂₁).

The spelling of 126105 in words is "one hundred twenty-six thousand, one hundred five".