100879821 has 12 divisors (see below), whose sum is σ = 166531872. Its totient is φ = 57645576.

The previous prime is 100879811. The next prime is 100879937. The reversal of 100879821 is 128978001.

It is not a de Polignac number, because 100879821 - 2⁵ = 100879789 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100879811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 800571 + ... + 800696.

It is an arithmetic number, because the mean of its divisors is an integer number (13877656).

Almost surely, 2^100879821 is an apocalyptic number.

It is an amenable number.

100879821 is a deficient number, since it is larger than the sum of its proper divisors (65652051).

100879821 is a wasteful number, since it uses less digits than its factorization.

100879821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601280 (or 1601277 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 100879821 is about 10043.8947127098. The cubic root of 100879821 is about 465.5161663327.

The spelling of 100879821 in words is "one hundred million, eight hundred seventy-nine thousand, eight hundred twenty-one".