100985571 has 18 divisors (see below), whose sum is σ = 152493068. Its totient is φ = 64393560.

The previous prime is 100985537. The next prime is 100985579. The reversal of 100985571 is 175589001.

100985571 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 85 + 571 = 666.

It is not a de Polignac number, because 100985571 - 2²⁵ = 67431139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100985579) 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 17 ways as a sum of consecutive naturals, for example, 5845 + ... + 15366.

Almost surely, 2^100985571 is an apocalyptic number.

100985571 is a deficient number, since it is larger than the sum of its proper divisors (51507497).

100985571 is a wasteful number, since it uses less digits than its factorization.

100985571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21263 (or 21237 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 100985571 is about 10049.1577258992. The cubic root of 100985571 is about 465.6787728298.

The spelling of 100985571 in words is "one hundred million, nine hundred eighty-five thousand, five hundred seventy-one".