106064 has 20 divisors (see below), whose sum is σ = 235104. Its totient is φ = 45408.

The previous prime is 106033. The next prime is 106087. The reversal of 106064 is 460601.

It is a super-2 number, since 2×106064² = 22499144192, which contains 22 as substring.

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 106064.

It is an unprimeable number.

106064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362 + ... + 585.

2¹⁰⁶⁰⁶⁴ is an apocalyptic number.

106064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106064 is an abundant number, since it is smaller than the sum of its proper divisors (129040).

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

106064 is an equidigital number, since it uses as much as digits as its factorization.

106064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106064 is about 325.6746843094. The cubic root of 106064 is about 47.3357577722.

Adding to 106064 its reverse (460601), we get a palindrome (566665).

It can be divided in two parts, 10606 and 4, that multiplied together give a palindrome (42424).

The spelling of 106064 in words is "one hundred six thousand, sixty-four".