104422381282800 has 720 divisors, whose sum is σ = 421266310682880. Its totient is φ = 23457611612160.

The previous prime is 104422381282789. The next prime is 104422381282811. The reversal of 104422381282800 is 8282183224401.

104422381282800 is a `hidden beast` number, since 1 + 0 + 442 + 2 + 3 + 8 + 128 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104422381282789) and next prime (104422381282811).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 9421846059 + ... + 9421857141.

Almost surely, 2^{104422381282800} is an apocalyptic number.

104422381282800 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 104422381282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210633155341440).

104422381282800 is an abundant number, since it is smaller than the sum of its proper divisors (316843929400080).

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

104422381282800 is a wasteful number, since it uses less digits than its factorization.

104422381282800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17510 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 104422381282800 in words is "one hundred four trillion, four hundred twenty-two billion, three hundred eighty-one million, two hundred eighty-two thousand, eight hundred".