104416881066720 has 288 divisors, whose sum is σ = 369562032010080. Its totient is φ = 27841314816000.

The previous prime is 104416881066703. The next prime is 104416881066737. The reversal of 104416881066720 is 27660188614401.

104416881066720 is a `hidden beast` number, since 1 + 0 + 441 + 68 + 8 + 10 + 66 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104416881066703) and next prime (104416881066737).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 349809696 + ... + 350108064.

It is an arithmetic number, because the mean of its divisors is an integer number (1283201500035).

Almost surely, 2^{104416881066720} is an apocalyptic number.

104416881066720 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 104416881066720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184781016005040).

104416881066720 is an abundant number, since it is smaller than the sum of its proper divisors (265145150943360).

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

104416881066720 is an equidigital number, since it uses as much as digits as its factorization.

104416881066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307400 (or 307380 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 104416881066720 in words is "one hundred four trillion, four hundred sixteen billion, eight hundred eighty-one million, sixty-six thousand, seven hundred twenty".