100979641 has 24 divisors (see below), whose sum is σ = 121150080. Its totient is φ = 83879712.

The previous prime is 100979633. The next prime is 100979657. The reversal of 100979641 is 146979001.

It is not a de Polignac number, because 100979641 - 2³ = 100979633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100979641.

It is not an unprimeable number, because it can be changed into a prime (100979341) 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 23 ways as a sum of consecutive naturals, for example, 375255 + ... + 375523.

It is an arithmetic number, because the mean of its divisors is an integer number (5047920).

Almost surely, 2^100979641 is an apocalyptic number.

It is an amenable number.

100979641 is a deficient number, since it is larger than the sum of its proper divisors (20170439).

100979641 is a wasteful number, since it uses less digits than its factorization.

100979641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 100979641 is about 10048.8626719644. The cubic root of 100979641 is about 465.6696575699.

The spelling of 100979641 in words is "one hundred million, nine hundred seventy-nine thousand, six hundred forty-one".