100800171 has 6 divisors (see below), whose sum is σ = 145600260. Its totient is φ = 67200108.

The previous prime is 100800163. The next prime is 100800197. The reversal of 100800171 is 171008001.

It is not a de Polignac number, because 100800171 - 2³ = 100800163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100800671) 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 5 ways as a sum of consecutive naturals, for example, 5600001 + ... + 5600018.

It is an arithmetic number, because the mean of its divisors is an integer number (24266710).

Almost surely, 2^100800171 is an apocalyptic number.

100800171 is a deficient number, since it is larger than the sum of its proper divisors (44800089).

100800171 is a wasteful number, since it uses less digits than its factorization.

100800171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11200025 (or 11200022 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 100800171 is about 10039.9288344091. The cubic root of 100800171 is about 465.3936174588.

Adding to 100800171 its reverse (171008001), we get a palindrome (271808172).

The spelling of 100800171 in words is "one hundred million, eight hundred thousand, one hundred seventy-one".