104712416100 has 216 divisors, whose sum is σ = 337484602728. Its totient is φ = 27136512000.

The previous prime is 104712416071. The next prime is 104712416131. The reversal of 104712416100 is 1614217401.

104712416100 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 1 + 2 + 41 + 610 + 0 = 666.

104712416100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13614689124 + 91097726976 = 116682^2 + 301824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43322092 + ... + 43324508.

Almost surely, 2^104712416100 is an apocalyptic number.

104712416100 is a gapful number since it is divisible by the number (10) 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 104712416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168742301364).

104712416100 is an abundant number, since it is smaller than the sum of its proper divisors (232772186628).

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

104712416100 is a wasteful number, since it uses less digits than its factorization.

104712416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 104712416100 in words is "one hundred four billion, seven hundred twelve million, four hundred sixteen thousand, one hundred".