104802349600 has 288 divisors, whose sum is σ = 279484236864. Its totient is φ = 38145945600.

The previous prime is 104802349579. The next prime is 104802349633. The reversal of 104802349600 is 6943208401.

104802349600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 104802349600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357687054 + ... + 357687346.

It is an arithmetic number, because the mean of its divisors is an integer number (970431378).

Almost surely, 2^104802349600 is an apocalyptic number.

104802349600 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 104802349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139742118432).

104802349600 is an abundant number, since it is smaller than the sum of its proper divisors (174681887264).

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

104802349600 is a wasteful number, since it uses less digits than its factorization.

104802349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 104802349600 in words is "one hundred four billion, eight hundred two million, three hundred forty-nine thousand, six hundred".