103784841216 has 816 divisors, whose sum is σ = 381678752000. Its totient is φ = 28092137472.

The previous prime is 103784841187. The next prime is 103784841229. The reversal of 103784841216 is 612148487301.

103784841216 is a `hidden beast` number, since 10 + 37 + 8 + 484 + 121 + 6 = 666.

It is a congruent number.

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, 5462360055 + ... + 5462360073.

Almost surely, 2^103784841216 is an apocalyptic number.

103784841216 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 103784841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190839376000).

103784841216 is an abundant number, since it is smaller than the sum of its proper divisors (277893910784).

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

103784841216 is an frugal number, since it uses more digits than its factorization.

103784841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 103784841216 in words is "one hundred three billion, seven hundred eighty-four million, eight hundred forty-one thousand, two hundred sixteen".