104316291072 has 768 divisors, whose sum is σ = 380414361600. Its totient is φ = 27568373760.

The previous prime is 104316291049. The next prime is 104316291077. The reversal of 104316291072 is 270192613401.

104316291072 is a `hidden beast` number, since 10 + 4 + 3 + 1 + 629 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104316291077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546158497 + ... + 546158687.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 2^104316291072 is an apocalyptic number.

104316291072 is a gapful number since it is divisible by the number (12) 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 104316291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190207180800).

104316291072 is an abundant number, since it is smaller than the sum of its proper divisors (276098070528).

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

104316291072 is a wasteful number, since it uses less digits than its factorization.

104316291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 104316291072 in words is "one hundred four billion, three hundred sixteen million, two hundred ninety-one thousand, seventy-two".