104058560144 has 160 divisors (see below), whose sum is σ = 255786652416. Its totient is φ = 39833026560.

The previous prime is 104058560143. The next prime is 104058560161. The reversal of 104058560144 is 441065850401.

It is a junction number, because it is equal to n+sod(n) for n = 104058560098 and 104058560107.

It is not an unprimeable number, because it can be changed into a prime (104058560143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24910184 + ... + 24914360.

Almost surely, 2^104058560144 is an apocalyptic number.

104058560144 is a gapful number since it is divisible by the number (14) 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 104058560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127893326208).

104058560144 is an abundant number, since it is smaller than the sum of its proper divisors (151728092272).

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

104058560144 is a wasteful number, since it uses less digits than its factorization.

104058560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 104058560144 in words is "one hundred four billion, fifty-eight million, five hundred sixty thousand, one hundred forty-four".