104859114000500 has 144 divisors (see below), whose sum is σ = 244511017326576. Its totient is φ = 39275973990400.

The previous prime is 104859114000493. The next prime is 104859114000539. The reversal of 104859114000500 is 5000411958401.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 71560974634384 + 33298139366116 = 8459372^2 + 5770454^2 .

It is a super-2 number, since 2×104859114000500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26624702 + ... + 30308298.

It is an arithmetic number, because the mean of its divisors is an integer number (1697993175879).

Almost surely, 2^{104859114000500} is an apocalyptic number.

104859114000500 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 104859114000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122255508663288).

104859114000500 is an abundant number, since it is smaller than the sum of its proper divisors (139651903326076).

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

104859114000500 is a wasteful number, since it uses less digits than its factorization.

104859114000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683847 (or 3683818 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

Adding to 104859114000500 its reverse (5000411958401), we get a palindrome (109859525958901).

The spelling of 104859114000500 in words is "one hundred four trillion, eight hundred fifty-nine billion, one hundred fourteen million, five hundred", and thus it is an aban number.