104429392704 has 504 divisors, whose sum is σ = 383760817440. Its totient is φ = 26897246208.

The previous prime is 104429392681. The next prime is 104429392757. The reversal of 104429392704 is 407293924401.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 104429392704.

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 71 ways as a sum of consecutive naturals, for example, 15773907 + ... + 15780525.

Almost surely, 2^104429392704 is an apocalyptic number.

104429392704 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 104429392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191880408720).

104429392704 is an abundant number, since it is smaller than the sum of its proper divisors (279331424736).

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

104429392704 is a wasteful number, since it uses less digits than its factorization.

104429392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6687 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104429392704 in words is "one hundred four billion, four hundred twenty-nine million, three hundred ninety-two thousand, seven hundred four".