104234134001100 has 288 divisors, whose sum is σ = 311186757772800. Its totient is φ = 26924801587200.

The previous prime is 104234134001093. The next prime is 104234134001131. The reversal of 104234134001100 is 1100431432401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5736912816 + ... + 5736930984.

It is an arithmetic number, because the mean of its divisors is an integer number (1080509575600).

Almost surely, 2^{104234134001100} is an apocalyptic number.

104234134001100 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 104234134001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155593378886400).

104234134001100 is an abundant number, since it is smaller than the sum of its proper divisors (206952623771700).

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

104234134001100 is a wasteful number, since it uses less digits than its factorization.

104234134001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22993 (or 22986 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104234134001100 its reverse (1100431432401), we get a palindrome (105334565433501).

The spelling of 104234134001100 in words is "one hundred four trillion, two hundred thirty-four billion, one hundred thirty-four million, one thousand, one hundred".