104482752192 has 336 divisors, whose sum is σ = 369593969472. Its totient is φ = 27481006080.

The previous prime is 104482752151. The next prime is 104482752217. The reversal of 104482752192 is 291257284401.

104482752192 is a `hidden beast` number, since 1 + 0 + 44 + 82 + 7 + 521 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×104482752192² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20806642 + ... + 20811662.

It is an arithmetic number, because the mean of its divisors is an integer number (1099982052).

Almost surely, 2^104482752192 is an apocalyptic number.

104482752192 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 104482752192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184796984736).

104482752192 is an abundant number, since it is smaller than the sum of its proper divisors (265111217280).

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

104482752192 is a wasteful number, since it uses less digits than its factorization.

104482752192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 104482752192 in words is "one hundred four billion, four hundred eighty-two million, seven hundred fifty-two thousand, one hundred ninety-two".