100108971 has 12 divisors (see below), whose sum is σ = 153108072. Its totient is φ = 62813376.

The previous prime is 100108969. The next prime is 100108993. The reversal of 100108971 is 179801001.

It is not a de Polignac number, because 100108971 - 2¹ = 100108969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100108901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327001 + ... + 327306.

It is an arithmetic number, because the mean of its divisors is an integer number (12759006).

Almost surely, 2^100108971 is an apocalyptic number.

100108971 is a deficient number, since it is larger than the sum of its proper divisors (52999101).

100108971 is a wasteful number, since it uses less digits than its factorization.

100108971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654330 (or 654327 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 100108971 is about 10005.4470664733. The cubic root of 100108971 is about 464.3274216824.

Adding to 100108971 its reverse (179801001), we get a palindrome (279909972).

It can be divided in two parts, 10010 and 8971, that added together give a palindrome (18981).

The spelling of 100108971 in words is "one hundred million, one hundred eight thousand, nine hundred seventy-one".