104300971632 has 480 divisors, whose sum is σ = 357477120000. Its totient is φ = 27956275200.

The previous prime is 104300971597. The next prime is 104300971669. The reversal of 104300971632 is 236179003401.

104300971632 is a `hidden beast` number, since 10 + 4 + 3 + 0 + 0 + 9 + 7 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 69579619 + ... + 69581117.

It is an arithmetic number, because the mean of its divisors is an integer number (744744000).

Almost surely, 2^104300971632 is an apocalyptic number.

104300971632 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 104300971632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560000).

104300971632 is an abundant number, since it is smaller than the sum of its proper divisors (253176148368).

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

104300971632 is a wasteful number, since it uses less digits than its factorization.

104300971632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 104300971632 in words is "one hundred four billion, three hundred million, nine hundred seventy-one thousand, six hundred thirty-two".