101668171 has 16 divisors (see below), whose sum is σ = 116056800. Its totient is φ = 88211200.

The previous prime is 101668139. The next prime is 101668187. The reversal of 101668171 is 171866101.

It is not a de Polignac number, because 101668171 - 2⁵ = 101668139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101668471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26601 + ... + 30181.

It is an arithmetic number, because the mean of its divisors is an integer number (7253550).

Almost surely, 2^101668171 is an apocalyptic number.

101668171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101668171 is a deficient number, since it is larger than the sum of its proper divisors (14388629).

101668171 is a wasteful number, since it uses less digits than its factorization.

101668171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710.

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 101668171 is about 10083.0635721491. The cubic root of 101668171 is about 466.7256511044.

The spelling of 101668171 in words is "one hundred one million, six hundred sixty-eight thousand, one hundred seventy-one".