104323433984 has 160 divisors (see below), whose sum is σ = 268263401472. Its totient is φ = 39333888000.

The previous prime is 104323433983. The next prime is 104323433989. The reversal of 104323433984 is 489334323401.

It is a super-3 number, since 3×104323433984³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104323433983) 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, 1179464 + ... + 1264824.

Almost surely, 2^104323433984 is an apocalyptic number.

104323433984 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 104323433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134131700736).

104323433984 is an abundant number, since it is smaller than the sum of its proper divisors (163939967488).

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

104323433984 is an equidigital number, since it uses as much as digits as its factorization.

104323433984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85428 (or 85412 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The spelling of 104323433984 in words is "one hundred four billion, three hundred twenty-three million, four hundred thirty-three thousand, nine hundred eighty-four".