12642105 has 16 divisors (see below), whose sum is σ = 23117184. Its totient is φ = 5779200.

The previous prime is 12642083. The next prime is 12642109. The reversal of 12642105 is 50124621.

12642105 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12642105 - 2⁶ = 12642041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12642109) 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, 60096 + ... + 60305.

It is an arithmetic number, because the mean of its divisors is an integer number (1444824).

Almost surely, 2^12642105 is an apocalyptic number.

12642105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12642105 is a deficient number, since it is larger than the sum of its proper divisors (10475079).

12642105 is a wasteful number, since it uses less digits than its factorization.

12642105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120416.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12642105 is about 3555.5737933560. The cubic root of 12642105 is about 232.9555872050.

Adding to 12642105 its reverse (50124621), we get a palindrome (62766726).

The spelling of 12642105 in words is "twelve million, six hundred forty-two thousand, one hundred five".