104399596224 has 336 divisors, whose sum is σ = 386903951616. Its totient is φ = 27116467200.

The previous prime is 104399596199. The next prime is 104399596237. The reversal of 104399596224 is 422695993401.

104399596224 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 9 + 9 + 5 + 9 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×104399596224³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153914 + ... + 1241094.

It is an arithmetic number, because the mean of its divisors is an integer number (1151499856).

Almost surely, 2^104399596224 is an apocalyptic number.

104399596224 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 104399596224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193451975808).

104399596224 is an abundant number, since it is smaller than the sum of its proper divisors (282504355392).

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

104399596224 is an equidigital number, since it uses as much as digits as its factorization.

104399596224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87226 (or 87204 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 104399596224 in words is "one hundred four billion, three hundred ninety-nine million, five hundred ninety-six thousand, two hundred twenty-four".