104199365381760 has 2048 divisors, whose sum is σ = 420763963392000. Its totient is φ = 24149497282560.

The previous prime is 104199365381759. The next prime is 104199365381773. The reversal of 104199365381760 is 67183563991401.

It is a happy number.

104199365381760 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 9 + 36 + 538 + 1 + 7 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 169982651214 + ... + 169982651826.

It is an arithmetic number, because the mean of its divisors is an integer number (205451154000).

Almost surely, 2^{104199365381760} is an apocalyptic number.

104199365381760 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 104199365381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210381981696000).

104199365381760 is an abundant number, since it is smaller than the sum of its proper divisors (316564598010240).

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

104199365381760 is a wasteful number, since it uses less digits than its factorization.

104199365381760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 104199365381760 in words is "one hundred four trillion, one hundred ninety-nine billion, three hundred sixty-five million, three hundred eighty-one thousand, seven hundred sixty".