104101189632 has 480 divisors, whose sum is σ = 343556413200. Its totient is φ = 31142707200.

The previous prime is 104101189607. The next prime is 104101189693. The reversal of 104101189632 is 236981101401.

104101189632 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 0 + 1 + 18 + 9 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 162404032 + ... + 162404672.

Almost surely, 2^104101189632 is an apocalyptic number.

104101189632 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 104101189632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171778206600).

104101189632 is an abundant number, since it is smaller than the sum of its proper divisors (239455223568).

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

104101189632 is an equidigital number, since it uses as much as digits as its factorization.

104101189632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 104101189632 in words is "one hundred four billion, one hundred one million, one hundred eighty-nine thousand, six hundred thirty-two".