642105 has 24 divisors (see below), whose sum is σ = 1173120. Its totient is φ = 324000.

The previous prime is 642079. The next prime is 642113. The reversal of 642105 is 501246.

It is a happy number.

642105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642105 - 2¹⁵ = 609337 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (48880).

2⁶⁴²¹⁰⁵ is an apocalyptic number.

It is an amenable number.

642105 is a deficient number, since it is larger than the sum of its proper divisors (531015).

642105 is a wasteful number, since it uses less digits than its factorization.

642105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 642105 is about 801.3145449822. The cubic root of 642105 is about 86.2717651435.

It can be divided in two parts, 642 and 105, that added together give a palindrome (747).

The spelling of 642105 in words is "six hundred forty-two thousand, one hundred five".