104351512032 has 240 divisors, whose sum is σ = 318166334640. Its totient is φ = 33524140032.

The previous prime is 104351511997. The next prime is 104351512061. The reversal of 104351512032 is 230215153401.

104351512032 is a `hidden beast` number, since 10 + 435 + 15 + 1 + 203 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104351511987 and 104351512005.

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 39 ways as a sum of consecutive naturals, for example, 10256644 + ... + 10266812.

It is an arithmetic number, because the mean of its divisors is an integer number (1325693061).

Almost surely, 2^104351512032 is an apocalyptic number.

104351512032 is a gapful number since it is divisible by the number (12) 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 104351512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159083167320).

104351512032 is an abundant number, since it is smaller than the sum of its proper divisors (213814822608).

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

104351512032 is a wasteful number, since it uses less digits than its factorization.

104351512032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 104351512032 its reverse (230215153401), we get a palindrome (334566665433).

The spelling of 104351512032 in words is "one hundred four billion, three hundred fifty-one million, five hundred twelve thousand, thirty-two".