104434186752 has 480 divisors, whose sum is σ = 366541718400. Its totient is φ = 28040527872.

The previous prime is 104434186751. The next prime is 104434186763. The reversal of 104434186752 is 257681434401.

104434186752 is a `hidden beast` number, since 104 + 434 + 1 + 8 + 67 + 52 = 666.

It is a super-2 number, since 2×104434186752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104434186698 and 104434186707.

It is not an unprimeable number, because it can be changed into a prime (104434186751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158473399 + ... + 158474057.

It is an arithmetic number, because the mean of its divisors is an integer number (763628580).

Almost surely, 2^104434186752 is an apocalyptic number.

104434186752 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 104434186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183270859200).

104434186752 is an abundant number, since it is smaller than the sum of its proper divisors (262107531648).

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

104434186752 is an frugal number, since it uses more digits than its factorization.

104434186752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 104434186752 in words is "one hundred four billion, four hundred thirty-four million, one hundred eighty-six thousand, seven hundred fifty-two".