104035072064 has 336 divisors, whose sum is σ = 269985744000. Its totient is φ = 39714554880.

The previous prime is 104035072061. The next prime is 104035072067. The reversal of 104035072064 is 460270530401.

It is an interprime number because it is at equal distance from previous prime (104035072061) and next prime (104035072067).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 104035072064.

It is not an unprimeable number, because it can be changed into a prime (104035072061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140777807 + ... + 140778545.

It is an arithmetic number, because the mean of its divisors is an integer number (803529000).

Almost surely, 2^104035072064 is an apocalyptic number.

104035072064 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 104035072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134992872000).

104035072064 is an abundant number, since it is smaller than the sum of its proper divisors (165950671936).

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

104035072064 is an equidigital number, since it uses as much as digits as its factorization.

104035072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 104035072064 in words is "one hundred four billion, thirty-five million, seventy-two thousand, sixty-four".