104014064 has 80 divisors (see below), whose sum is σ = 256531200. Its totient is φ = 40501440.

The previous prime is 104014063. The next prime is 104014081. The reversal of 104014064 is 460410401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104014061) 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 15 ways as a sum of consecutive naturals, for example, 59507 + ... + 61229.

It is an arithmetic number, because the mean of its divisors is an integer number (3206640).

Almost surely, 2^104014064 is an apocalyptic number.

104014064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128265600).

104014064 is an abundant number, since it is smaller than the sum of its proper divisors (152517136).

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

104014064 is a wasteful number, since it uses less digits than its factorization.

104014064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104014064 is about 10198.7285482064. The cubic root of 104014064 is about 470.2881347752.

Adding to 104014064 its reverse (460410401), we get a palindrome (564424465).

The spelling of 104014064 in words is "one hundred four million, fourteen thousand, sixty-four".