105010010171 has 16 divisors (see below), whose sum is σ = 118817415648. Its totient is φ = 91963872000.

The previous prime is 105010010167. The next prime is 105010010219. The reversal of 105010010171 is 171010010501.

It is a happy number.

It is not a de Polignac number, because 105010010171 - 2² = 105010010167 is a prime.

It is a super-3 number, since 3×105010010171³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105010012171) 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, 1236170 + ... + 1318383.

It is an arithmetic number, because the mean of its divisors is an integer number (7426088478).

Almost surely, 2^105010010171 is an apocalyptic number.

105010010171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105010010171 is a deficient number, since it is larger than the sum of its proper divisors (13807405477).

105010010171 is a wasteful number, since it uses less digits than its factorization.

105010010171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554702.

The product of its (nonzero) digits is 35, while the sum is 17.

Adding to 105010010171 its reverse (171010010501), we get a palindrome (276020020672).

The spelling of 105010010171 in words is "one hundred five billion, ten million, ten thousand, one hundred seventy-one".