105471 has 6 divisors (see below), whose sum is σ = 152360. Its totient is φ = 70308.

The previous prime is 105467. The next prime is 105491. The reversal of 105471 is 174501.

It is not a de Polignac number, because 105471 - 2² = 105467 is a prime.

It is a super-3 number, since 3×105471³ = 3519819928206333, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

105471 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105471.

It is not an unprimeable number, because it can be changed into a prime (105401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5851 + ... + 5868.

2¹⁰⁵⁴⁷¹ is an apocalyptic number.

105471 is a deficient number, since it is larger than the sum of its proper divisors (46889).

105471 is a wasteful number, since it uses less digits than its factorization.

105471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11725 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105471 is about 324.7629905023. The cubic root of 105471 is about 47.2473753476.

Adding to 105471 its reverse (174501), we get a palindrome (279972).

It can be divided in two parts, 105 and 471, that multiplied together give a triangular number (49455 = T₃₁₄).

The spelling of 105471 in words is "one hundred five thousand, four hundred seventy-one".