101064 has 16 divisors (see below), whose sum is σ = 252720. Its totient is φ = 33680.

The previous prime is 101063. The next prime is 101081. The reversal of 101064 is 460101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101064.

It is not an unprimeable number, because it can be changed into a prime (101063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2082 + ... + 2129.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹⁰¹⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

101064 is an abundant number, since it is smaller than the sum of its proper divisors (151656).

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

101064 is a wasteful number, since it uses less digits than its factorization.

101064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101064 is about 317.9056463796. The cubic root of 101064 is about 46.5799295888.

Adding to 101064 its reverse (460101), we get a palindrome (561165).

The spelling of 101064 in words is "one hundred one thousand, sixty-four".