104678683200 has 2016 divisors, whose sum is σ = 501871878144. Its totient is φ = 20065812480.

The previous prime is 104678683199. The next prime is 104678683247. The reversal of 104678683200 is 2386876401.

104678683200 is a `hidden beast` number, since 10 + 467 + 86 + 83 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 824241537 + ... + 824241663.

It is an arithmetic number, because the mean of its divisors is an integer number (248944384).

Almost surely, 2^104678683200 is an apocalyptic number.

104678683200 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 104678683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250935939072).

104678683200 is an abundant number, since it is smaller than the sum of its proper divisors (397193194944).

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

104678683200 is a wasteful number, since it uses less digits than its factorization.

104678683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 104678683200 in words is "one hundred four billion, six hundred seventy-eight million, six hundred eighty-three thousand, two hundred".