104455104427584 has 945 divisors, whose sum is σ = 339080777595153. Its totient is φ = 31789308211200.

The previous prime is 104455104427573. The next prime is 104455104427627. The reversal of 104455104427584 is 485724401554401.

The square root of 104455104427584 is 10220328.

It is a perfect power (a square), and thus also a powerful number.

104455104427584 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 5 + 10 + 4 + 42 + 7 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78557590545984 + 25897513881600 = 8863272^2 + 5088960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 104455104427584.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 433423669704 + ... + 433423669944.

Almost surely, 2^{104455104427584} is an apocalyptic number.

104455104427584 is the 10220328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104455104427584

104455104427584 is an abundant number, since it is smaller than the sum of its proper divisors (234625673167569).

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

104455104427584 is an frugal number, since it uses more digits than its factorization.

104455104427584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 104455104427584 in words is "one hundred four trillion, four hundred fifty-five billion, one hundred four million, four hundred twenty-seven thousand, five hundred eighty-four".