100805677821 has 20 divisors (see below), whose sum is σ = 151735788864. Its totient is φ = 66690772200.

The previous prime is 100805677787. The next prime is 100805677859. The reversal of 100805677821 is 128776508001.

It is a happy number.

100805677821 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 0 + 567 + 7 + 82 + 1 = 666.

It is not a de Polignac number, because 100805677821 - 2⁶ = 100805677757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100800677821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4739445 + ... + 4760666.

Almost surely, 2^100805677821 is an apocalyptic number.

It is an amenable number.

100805677821 is a deficient number, since it is larger than the sum of its proper divisors (50930111043).

100805677821 is an equidigital number, since it uses as much as digits as its factorization.

100805677821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9500254 (or 9500245 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 100805677821 in words is "one hundred billion, eight hundred five million, six hundred seventy-seven thousand, eight hundred twenty-one".