104781081600 has 1320 divisors, whose sum is σ = 438584324640. Its totient is φ = 24670863360.

The previous prime is 104781081569. The next prime is 104781081637. The reversal of 104781081600 is 6180187401.

104781081600 is a `hidden beast` number, since 1 + 0 + 47 + 8 + 1 + 0 + 8 + 1 + 600 = 666.

It is a super-2 number, since 2×104781081600² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4555699189 + ... + 4555699211.

It is an arithmetic number, because the mean of its divisors is an integer number (332260852).

Almost surely, 2^104781081600 is an apocalyptic number.

104781081600 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 104781081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219292162320).

104781081600 is an abundant number, since it is smaller than the sum of its proper divisors (333803243040).

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

104781081600 is an equidigital number, since it uses as much as digits as its factorization.

104781081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 104781081600 in words is "one hundred four billion, seven hundred eighty-one million, eighty-one thousand, six hundred".