107064 has 24 divisors (see below), whose sum is σ = 290160. Its totient is φ = 35664.

The previous prime is 107057. The next prime is 107069. The reversal of 107064 is 460701.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×107064² = 22925400192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107064.

It is not an unprimeable number, because it can be changed into a prime (107069) by changing a digit.

107064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2¹⁰⁷⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

107064 is an abundant number, since it is smaller than the sum of its proper divisors (183096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107064 is a wasteful number, since it uses less digits than its factorization.

107064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

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

The square root of 107064 is about 327.2063569065. The cubic root of 107064 is about 47.4840574383.

Adding to 107064 its reverse (460701), we get a palindrome (567765).

It can be divided in two parts, 10706 and 4, that multiplied together give a palindrome (42824).

The spelling of 107064 in words is "one hundred seven thousand, sixty-four".