104382293472 has 72 divisors (see below), whose sum is σ = 297069560424. Its totient is φ = 34766855424.

The previous prime is 104382293459. The next prime is 104382293473. The reversal of 104382293472 is 274392283401.

104382293472 is a `hidden beast` number, since 10 + 4 + 3 + 82 + 2 + 93 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104382293473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228258 + ... + 510750.

It is an arithmetic number, because the mean of its divisors is an integer number (4125966117).

Almost surely, 2^104382293472 is an apocalyptic number.

104382293472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104382293472 is an abundant number, since it is smaller than the sum of its proper divisors (192687266952).

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

104382293472 is a wasteful number, since it uses less digits than its factorization.

104382293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283792 (or 283781 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 104382293472 in words is "one hundred four billion, three hundred eighty-two million, two hundred ninety-three thousand, four hundred seventy-two".