104131241600 has 96 divisors (see below), whose sum is σ = 258342577740. Its totient is φ = 41473433600.

The previous prime is 104131241569. The next prime is 104131241603. The reversal of 104131241600 is 6142131401.

It can be written as a sum of positive squares in 6 ways, for example, as 25628167744 + 78503073856 = 160088^2 + 280184^2 .

It is not an unprimeable number, because it can be changed into a prime (104131241603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675770 + ... + 815430.

Almost surely, 2^104131241600 is an apocalyptic number.

104131241600 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 104131241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129171288870).

104131241600 is an abundant number, since it is smaller than the sum of its proper divisors (154211336140).

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

104131241600 is a wasteful number, since it uses less digits than its factorization.

104131241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139918 (or 139901 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 104131241600 in words is "one hundred four billion, one hundred thirty-one million, two hundred forty-one thousand, six hundred".