104828064 has 96 divisors (see below), whose sum is σ = 306016704. Its totient is φ = 31150080.

The previous prime is 104828051. The next prime is 104828093. The reversal of 104828064 is 460828401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55032 + ... + 56904.

It is an arithmetic number, because the mean of its divisors is an integer number (3187674).

Almost surely, 2^104828064 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 104828064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153008352).

104828064 is an abundant number, since it is smaller than the sum of its proper divisors (201188640).

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

104828064 is a wasteful number, since it uses less digits than its factorization.

104828064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 104828064 is about 10238.5577109278. The cubic root of 104828064 is about 471.5117521334.

The spelling of 104828064 in words is "one hundred four million, eight hundred twenty-eight thousand, sixty-four".