104872758144 has 128 divisors (see below), whose sum is σ = 347305985280. Its totient is φ = 27239669760.

The previous prime is 104872758139. The next prime is 104872758157. The reversal of 104872758144 is 441857278401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1743849 + ... + 1802984.

It is an arithmetic number, because the mean of its divisors is an integer number (2713328010).

Almost surely, 2^104872758144 is an apocalyptic number.

104872758144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104872758144 is an abundant number, since it is smaller than the sum of its proper divisors (242433227136).

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

104872758144 is a wasteful number, since it uses less digits than its factorization.

104872758144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546868 (or 3546856 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 104872758144 in words is "one hundred four billion, eight hundred seventy-two million, seven hundred fifty-eight thousand, one hundred forty-four".