104574087072 has 480 divisors, whose sum is σ = 386617093632. Its totient is φ = 26990309376.

The previous prime is 104574087053. The next prime is 104574087091. The reversal of 104574087072 is 270780475401.

104574087072 is a `hidden beast` number, since 1 + 0 + 4 + 574 + 0 + 8 + 7 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (104574087053) and next prime (104574087091).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11081268 + ... + 11090700.

Almost surely, 2^104574087072 is an apocalyptic number.

104574087072 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 104574087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193308546816).

104574087072 is an abundant number, since it is smaller than the sum of its proper divisors (282043006560).

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

104574087072 is a wasteful number, since it uses less digits than its factorization.

104574087072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9522 (or 9505 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 104574087072 in words is "one hundred four billion, five hundred seventy-four million, eighty-seven thousand, seventy-two".