104007283436320 has 576 divisors, whose sum is σ = 291238247260800. Its totient is φ = 34964866252800.

The previous prime is 104007283436279. The next prime is 104007283436333. The reversal of 104007283436320 is 23634382700401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2973233230 + ... + 2973268210.

It is an arithmetic number, because the mean of its divisors is an integer number (505621957050).

Almost surely, 2^{104007283436320} is an apocalyptic number.

104007283436320 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 104007283436320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145619123630400).

104007283436320 is an abundant number, since it is smaller than the sum of its proper divisors (187230963824480).

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

104007283436320 is a wasteful number, since it uses less digits than its factorization.

104007283436320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35233 (or 35214 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

The spelling of 104007283436320 in words is "one hundred four trillion, seven billion, two hundred eighty-three million, four hundred thirty-six thousand, three hundred twenty".