104781704400 has 90 divisors (see below), whose sum is σ = 363621632790. Its totient is φ = 27941786880.

The previous prime is 104781704381. The next prime is 104781704413. The reversal of 104781704400 is 4407187401.

104781704400 is a `hidden beast` number, since 1 + 0 + 47 + 8 + 170 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37684127376 + 67097577024 = 194124^2 + 259032^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14549415 + ... + 14556614.

Almost surely, 2^104781704400 is an apocalyptic number.

104781704400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104781704400 is an abundant number, since it is smaller than the sum of its proper divisors (258839928390).

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

104781704400 is a wasteful number, since it uses less digits than its factorization.

104781704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29106053 (or 29106039 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 104781704400 in words is "one hundred four billion, seven hundred eighty-one million, seven hundred four thousand, four hundred".