104069416704 has 648 divisors, whose sum is σ = 333741826320. Its totient is φ = 28725903360.

The previous prime is 104069416691. The next prime is 104069416709. The reversal of 104069416704 is 407614960401.

It is a super-2 number, since 2×104069416704² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104069416709) by changing a digit.

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, 1425608412 + ... + 1425608484.

Almost surely, 2^104069416704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104069416704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166870913160).

104069416704 is an abundant number, since it is smaller than the sum of its proper divisors (229672409616).

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

104069416704 is a wasteful number, since it uses less digits than its factorization.

104069416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 104069416704 in words is "one hundred four billion, sixty-nine million, four hundred sixteen thousand, seven hundred four".