104788146400 has 576 divisors, whose sum is σ = 318729600000. Its totient is φ = 33530112000.

The previous prime is 104788146373. The next prime is 104788146401. The reversal of 104788146400 is 4641887401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104788146401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526573501 + ... + 526573699.

It is an arithmetic number, because the mean of its divisors is an integer number (553350000).

Almost surely, 2^104788146400 is an apocalyptic number.

104788146400 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 104788146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800000).

104788146400 is an abundant number, since it is smaller than the sum of its proper divisors (213941453600).

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

104788146400 is a wasteful number, since it uses less digits than its factorization.

104788146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 104788146400 in words is "one hundred four billion, seven hundred eighty-eight million, one hundred forty-six thousand, four hundred".