104366997504 has 576 divisors, whose sum is σ = 386545582080. Its totient is φ = 27037532160.

The previous prime is 104366997503. The next prime is 104366997517. The reversal of 104366997504 is 405799663401.

104366997504 is a `hidden beast` number, since 1 + 0 + 43 + 6 + 6 + 9 + 97 + 504 = 666.

104366997504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104366997503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272498497 + ... + 272498879.

It is an arithmetic number, because the mean of its divisors is an integer number (671086080).

Almost surely, 2^104366997504 is an apocalyptic number.

104366997504 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 104366997504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272791040).

104366997504 is an abundant number, since it is smaller than the sum of its proper divisors (282178584576).

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

104366997504 is an frugal number, since it uses more digits than its factorization.

104366997504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

It can be divided in two parts, 104366 and 997504, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 104366997504 in words is "one hundred four billion, three hundred sixty-six million, nine hundred ninety-seven thousand, five hundred four".