105131471 has 8 divisors (see below), whose sum is σ = 106851744. Its totient is φ = 103425280.

The previous prime is 105131443. The next prime is 105131491. The reversal of 105131471 is 174131501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105131471 - 2⁶ = 105131407 is a prime.

It is a super-3 number, since 3×105131471³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105131401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12086 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (13356468).

Almost surely, 2^105131471 is an apocalyptic number.

105131471 is a deficient number, since it is larger than the sum of its proper divisors (1720273).

105131471 is a wasteful number, since it uses less digits than its factorization.

105131471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 105131471 is about 10253.3638870373. The cubic root of 105131471 is about 471.9662174782.

Adding to 105131471 its reverse (174131501), we get a palindrome (279262972).

The spelling of 105131471 in words is "one hundred five million, one hundred thirty-one thousand, four hundred seventy-one".