104083089260544 has 693 divisors, whose sum is σ = 320048896366129. Its totient is φ = 33848159109120.

The previous prime is 104083089260539. The next prime is 104083089260561. The reversal of 104083089260544 is 445062980380401.

The square root of 104083089260544 is 10202112.

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

104083089260544 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 8 + 3 + 0 + 8 + 92 + 6 + 0 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5015306502144 + 99067782758400 = 2239488^2 + 9953280^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2538611933164 + ... + 2538611933204.

Almost surely, 2^{104083089260544} is an apocalyptic number.

104083089260544 is the 10202112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104083089260544

104083089260544 is an abundant number, since it is smaller than the sum of its proper divisors (215965807105585).

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

104083089260544 is an frugal number, since it uses more digits than its factorization.

104083089260544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 104083089260544 in words is "one hundred four trillion, eighty-three billion, eighty-nine million, two hundred sixty thousand, five hundred forty-four".