104199903360 has 1920 divisors, whose sum is σ = 486255052800. Its totient is φ = 21069103104.

The previous prime is 104199903331. The next prime is 104199903371. The reversal of 104199903360 is 63309991401.

104199903360 is a `hidden beast` number, since 10 + 4 + 199 + 90 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 820471617 + ... + 820471743.

It is an arithmetic number, because the mean of its divisors is an integer number (253257840).

Almost surely, 2^104199903360 is an apocalyptic number.

104199903360 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 104199903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243127526400).

104199903360 is an abundant number, since it is smaller than the sum of its proper divisors (382055149440).

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

104199903360 is a wasteful number, since it uses less digits than its factorization.

104199903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 104199903360 in words is "one hundred four billion, one hundred ninety-nine million, nine hundred three thousand, three hundred sixty".