104400064 has 56 divisors (see below), whose sum is σ = 216383616. Its totient is φ = 49920000.

The previous prime is 104400061. The next prime is 104400067. The reversal of 104400064 is 460004401.

It is an interprime number because it is at equal distance from previous prime (104400061) and next prime (104400067).

It is not an unprimeable number, because it can be changed into a prime (104400061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200124 + ... + 200644.

Almost surely, 2^104400064 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 104400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108191808).

104400064 is an abundant number, since it is smaller than the sum of its proper divisors (111983552).

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

104400064 is a wasteful number, since it uses less digits than its factorization.

104400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 104400064 is about 10217.6349513965. The cubic root of 104400064 is about 470.8691687833.

Adding to 104400064 its reverse (460004401), we get a palindrome (564404465).

The spelling of 104400064 in words is "one hundred four million, four hundred thousand, sixty-four".