104588199144 has 384 divisors, whose sum is σ = 341778528000. Its totient is φ = 28473569280.

The previous prime is 104588199139. The next prime is 104588199173. The reversal of 104588199144 is 441991885401.

104588199144 is a `hidden beast` number, since 1 + 0 + 4 + 588 + 19 + 9 + 1 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74758557 + ... + 74759955.

It is an arithmetic number, because the mean of its divisors is an integer number (890048250).

Almost surely, 2^104588199144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104588199144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264000).

104588199144 is an abundant number, since it is smaller than the sum of its proper divisors (237190328856).

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

104588199144 is a wasteful number, since it uses less digits than its factorization.

104588199144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 104588199144 in words is "one hundred four billion, five hundred eighty-eight million, one hundred ninety-nine thousand, one hundred forty-four".