104472228096 has 432 divisors, whose sum is σ = 319793488560. Its totient is φ = 32754892800.

The previous prime is 104472228089. The next prime is 104472228103. The reversal of 104472228096 is 690822274401.

104472228096 is a `hidden beast` number, since 10 + 4 + 472 + 2 + 2 + 80 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (104472228089) and next prime (104472228103).

It can be written as a sum of positive squares in 8 ways, for example, as 55353600 + 104416874496 = 7440^2 + 323136^2 .

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 47 ways as a sum of consecutive naturals, for example, 762570940 + ... + 762571076.

It is an arithmetic number, because the mean of its divisors is an integer number (740262705).

Almost surely, 2^104472228096 is an apocalyptic number.

104472228096 is a gapful number since it is divisible by the number (16) 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 104472228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159896744280).

104472228096 is an abundant number, since it is smaller than the sum of its proper divisors (215321260464).

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

104472228096 is a wasteful number, since it uses less digits than its factorization.

104472228096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 104472228096 in words is "one hundred four billion, four hundred seventy-two million, two hundred twenty-eight thousand, ninety-six".