103821636672 has 84 divisors (see below), whose sum is σ = 320477227980. Its totient is φ = 31945116672.

The previous prime is 103821636661. The next prime is 103821636679. The reversal of 103821636672 is 276636128301.

103821636672 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 1 + 636 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41772819456 + 62048817216 = 204384^2 + 249096^2 .

It is not an unprimeable number, because it can be changed into a prime (103821636679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6925047 + ... + 6940022.

It is an arithmetic number, because the mean of its divisors is an integer number (3815205095).

Almost surely, 2^103821636672 is an apocalyptic number.

103821636672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103821636672 is an abundant number, since it is smaller than the sum of its proper divisors (216655591308).

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

103821636672 is a wasteful number, since it uses less digits than its factorization.

103821636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865100 (or 13865087 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 103821636672 in words is "one hundred three billion, eight hundred twenty-one million, six hundred thirty-six thousand, six hundred seventy-two".