104303412000 has 288 divisors, whose sum is σ = 376249137264. Its totient is φ = 27357696000.

The previous prime is 104303411987. The next prime is 104303412041. The reversal of 104303412000 is 214303401.

104303412000 is a `hidden beast` number, since 1 + 0 + 430 + 34 + 1 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1946927376 + 102356484624 = 44124^2 + 319932^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2172252 + ... + 2219748.

Almost surely, 2^104303412000 is an apocalyptic number.

104303412000 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 104303412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188124568632).

104303412000 is an abundant number, since it is smaller than the sum of its proper divisors (271945725264).

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

104303412000 is a wasteful number, since it uses less digits than its factorization.

104303412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47589 (or 47568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 104303412000 its reverse (214303401), we get a palindrome (104517715401).

The spelling of 104303412000 in words is "one hundred four billion, three hundred three million, four hundred twelve thousand".