104540995584 has 153 divisors (see below), whose sum is σ = 302724071949. Its totient is φ = 34764226560.

The previous prime is 104540995567. The next prime is 104540995591. The reversal of 104540995584 is 485599045401.

The square root of 104540995584 is 323328.

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

104540995584 is a `hidden beast` number, since 1 + 0 + 4 + 54 + 0 + 9 + 9 + 5 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 496041984 + 104044953600 = 22272^2 + 322560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104540995584.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 248315694 + ... + 248316114.

Almost surely, 2^104540995584 is an apocalyptic number.

104540995584 is the 323328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104540995584

104540995584 is an abundant number, since it is smaller than the sum of its proper divisors (198183076365).

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

104540995584 is an frugal number, since it uses more digits than its factorization.

104540995584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 104540995584 in words is "one hundred four billion, five hundred forty million, nine hundred ninety-five thousand, five hundred eighty-four".