100983879 has 24 divisors (see below), whose sum is σ = 154527360. Its totient is φ = 63370512.

The previous prime is 100983851. The next prime is 100983881. The reversal of 100983879 is 978389001.

It is not a de Polignac number, because 100983879 - 2⁹ = 100983367 is a prime.

It is a super-3 number, since 3×100983879³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100983889) 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 23 ways as a sum of consecutive naturals, for example, 26062 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (6438640).

Almost surely, 2^100983879 is an apocalyptic number.

100983879 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100983879 is a deficient number, since it is larger than the sum of its proper divisors (53543481).

100983879 is a wasteful number, since it uses less digits than its factorization.

100983879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 100983879 is about 10049.0735393866. The cubic root of 100983879 is about 465.6761720197.

The spelling of 100983879 in words is "one hundred million, nine hundred eighty-three thousand, eight hundred seventy-nine".