105171021 has 16 divisors (see below), whose sum is σ = 157192320. Its totient is φ = 69491520.

The previous prime is 105170999. The next prime is 105171067. The reversal of 105171021 is 120171501.

It is a happy number.

It is not a de Polignac number, because 105171021 - 2⁶ = 105170957 is a prime.

It is a super-2 number, since 2×105171021² = 22121887316364882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105170985 and 105171003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105171071) 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 15 ways as a sum of consecutive naturals, for example, 14185 + ... + 20286.

It is an arithmetic number, because the mean of its divisors is an integer number (9824520).

Almost surely, 2^105171021 is an apocalyptic number.

It is an amenable number.

105171021 is a deficient number, since it is larger than the sum of its proper divisors (52021299).

105171021 is a wasteful number, since it uses less digits than its factorization.

105171021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34593 (or 34587 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 105171021 is about 10255.2923410306. The cubic root of 105171021 is about 472.0253939344.

The spelling of 105171021 in words is "one hundred five million, one hundred seventy-one thousand, twenty-one".