104272463232 has 192 divisors, whose sum is σ = 343508256000. Its totient is φ = 29741018112.

The previous prime is 104272463213. The next prime is 104272463237. The reversal of 104272463232 is 232364272401.

104272463232 is a `hidden beast` number, since 10 + 4 + 2 + 7 + 2 + 4 + 632 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104272463237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4819543 + ... + 4841129.

It is an arithmetic number, because the mean of its divisors is an integer number (1789105500).

Almost surely, 2^104272463232 is an apocalyptic number.

104272463232 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 104272463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171754128000).

104272463232 is an abundant number, since it is smaller than the sum of its proper divisors (239235792768).

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

104272463232 is a wasteful number, since it uses less digits than its factorization.

104272463232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22213 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 104272463232 in words is "one hundred four billion, two hundred seventy-two million, four hundred sixty-three thousand, two hundred thirty-two".