100064 has 24 divisors (see below), whose sum is σ = 204120. Its totient is φ = 48256.

The previous prime is 100057. The next prime is 100069. The reversal of 100064 is 460001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100069) 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, 1667 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹⁰⁰⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

100064 is an abundant number, since it is smaller than the sum of its proper divisors (104056).

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

100064 is an equidigital number, since it uses as much as digits as its factorization.

100064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100064 is about 316.3289427163. The cubic root of 100064 is about 46.4257882806.

Adding to 100064 its reverse (460001), we get a palindrome (560065).

It can be divided in two parts, 1000 and 64, that multiplied together give a cube (64000 = 40³).

The spelling of 100064 in words is "one hundred thousand, sixty-four".