100971 has 12 divisors (see below), whose sum is σ = 157248. Its totient is φ = 62064.

The previous prime is 100957. The next prime is 100981. The reversal of 100971 is 179001.

It is not a de Polignac number, because 100971 - 2⁶ = 100907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 315 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2¹⁰⁰⁹⁷¹ is an apocalyptic number.

100971 is a deficient number, since it is larger than the sum of its proper divisors (56277).

100971 is a wasteful number, since it uses less digits than its factorization.

100971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 100971 is about 317.7593428996. The cubic root of 100971 is about 46.5656374476.

Adding to 100971 its reverse (179001), we get a palindrome (279972).

The spelling of 100971 in words is "one hundred thousand, nine hundred seventy-one".