104867343360 has 880 divisors, whose sum is σ = 413451029376. Its totient is φ = 25257443328.

The previous prime is 104867343349. The next prime is 104867343389. The reversal of 104867343360 is 63343768401.

104867343360 is a `hidden beast` number, since 1 + 0 + 486 + 73 + 43 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 285741897 + ... + 285742263.

Almost surely, 2^104867343360 is an apocalyptic number.

104867343360 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 104867343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206725514688).

104867343360 is an abundant number, since it is smaller than the sum of its proper divisors (308583686016).

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

104867343360 is a wasteful number, since it uses less digits than its factorization.

104867343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 104867343360 in words is "one hundred four billion, eight hundred sixty-seven million, three hundred forty-three thousand, three hundred sixty".