104460141600 has 432 divisors, whose sum is σ = 376715888640. Its totient is φ = 27230515200.

The previous prime is 104460141589. The next prime is 104460141637. The reversal of 104460141600 is 6141064401.

104460141600 is a `hidden beast` number, since 1 + 0 + 4 + 46 + 0 + 14 + 1 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 64921596 + ... + 64923204.

It is an arithmetic number, because the mean of its divisors is an integer number (872027520).

Almost surely, 2^104460141600 is an apocalyptic number.

104460141600 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 104460141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188357944320).

104460141600 is an abundant number, since it is smaller than the sum of its proper divisors (272255747040).

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

104460141600 is a wasteful number, since it uses less digits than its factorization.

104460141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 104460141600 in words is "one hundred four billion, four hundred sixty million, one hundred forty-one thousand, six hundred".