64107 has 12 divisors (see below), whose sum is σ = 98280. Its totient is φ = 40128.

The previous prime is 64091. The next prime is 64109. The reversal of 64107 is 70146.

It is not a de Polignac number, because 64107 - 2⁴ = 64091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 64107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64107.

It is not an unprimeable number, because it can be changed into a prime (64109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁶⁴¹⁰⁷ is an apocalyptic number.

64107 is a deficient number, since it is larger than the sum of its proper divisors (34173).

64107 is a wasteful number, since it uses less digits than its factorization.

64107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 64107 is about 253.1936018149. The cubic root of 64107 is about 40.0222792552.

It can be divided in two parts, 64 and 107, that added together give a palindrome (171).

The spelling of 64107 in words is "sixty-four thousand, one hundred seven".