104376729600 has 1440 divisors, whose sum is σ = 457720163670. Its totient is φ = 23357030400.

The previous prime is 104376729551. The next prime is 104376729601. The reversal of 104376729600 is 6927673401.

104376729600 is a `hidden beast` number, since 1 + 0 + 4 + 37 + 6 + 7 + 2 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 57969229824 + 46407499776 = 240768^2 + 215424^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104376729601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8028979194 + ... + 8028979206.

Almost surely, 2^104376729600 is an apocalyptic number.

104376729600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104376729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228860081835).

104376729600 is an abundant number, since it is smaller than the sum of its proper divisors (353343434070).

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

104376729600 is an equidigital number, since it uses as much as digits as its factorization.

104376729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 104376729600 in words is "one hundred four billion, three hundred seventy-six million, seven hundred twenty-nine thousand, six hundred".