104055431040 has 576 divisors, whose sum is σ = 397694344320. Its totient is φ = 25050685440.

The previous prime is 104055431033. The next prime is 104055431111. The reversal of 104055431040 is 40134550401.

It is a happy number.

104055431040 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 554 + 3 + 104 + 0 = 666.

104055431040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 104055430995 and 104055431013.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 120573649 + ... + 120574511.

It is an arithmetic number, because the mean of its divisors is an integer number (690441570).

Almost surely, 2^104055431040 is an apocalyptic number.

104055431040 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 104055431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198847172160).

104055431040 is an abundant number, since it is smaller than the sum of its proper divisors (293638913280).

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

104055431040 is a wasteful number, since it uses less digits than its factorization.

104055431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 104055431040 its reverse (40134550401), we get a palindrome (144189981441).

It can be divided in two parts, 104055 and 431040, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 104055431040 in words is "one hundred four billion, fifty-five million, four hundred thirty-one thousand, forty".