104380686400 has 189 divisors, whose sum is σ = 264602073157. Its totient is φ = 40527155200.

The previous prime is 104380686383. The next prime is 104380686439. The reversal of 104380686400 is 4686083401.

The square root of 104380686400 is 323080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 58769395776 + 45611290624 = 242424^2 + 213568^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 529851102 + ... + 529851298.

Almost surely, 2^104380686400 is an apocalyptic number.

104380686400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104380686400 is the 323080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104380686400

104380686400 is an abundant number, since it is smaller than the sum of its proper divisors (160221386757).

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

104380686400 is an frugal number, since it uses more digits than its factorization.

104380686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 104380686400 in words is "one hundred four billion, three hundred eighty million, six hundred eighty-six thousand, four hundred".