104538226752 has 294 divisors, whose sum is σ = 330436531658. Its totient is φ = 32792076288.

The previous prime is 104538226733. The next prime is 104538226757. The reversal of 104538226752 is 257622835401.

104538226752 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 382 + 267 + 5 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78364164096 + 26174062656 = 279936^2 + 161784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104538226698 and 104538226707.

It is not an unprimeable number, because it can be changed into a prime (104538226757) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 13479708 + ... + 13487460.

Almost surely, 2^104538226752 is an apocalyptic number.

104538226752 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 104538226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165218265829).

104538226752 is an abundant number, since it is smaller than the sum of its proper divisors (225898304906).

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

104538226752 is an frugal number, since it uses more digits than its factorization.

104538226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 104538226752 in words is "one hundred four billion, five hundred thirty-eight million, two hundred twenty-six thousand, seven hundred fifty-two".