105311471 has 8 divisors (see below), whose sum is σ = 112510080. Its totient is φ = 98278488.

The previous prime is 105311467. The next prime is 105311473. The reversal of 105311471 is 174113501.

It is a happy number.

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

It is not a de Polignac number, because 105311471 - 2² = 105311467 is a prime.

It is a super-3 number, since 3×105311471³ (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 (105311473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40091 + ... + 42636.

It is an arithmetic number, because the mean of its divisors is an integer number (14063760).

Almost surely, 2^105311471 is an apocalyptic number.

105311471 is a deficient number, since it is larger than the sum of its proper divisors (7198609).

105311471 is an equidigital number, since it uses as much as digits as its factorization.

105311471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82813.

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

The square root of 105311471 is about 10262.1377402567. The cubic root of 105311471 is about 472.2354216154.

Adding to 105311471 its reverse (174113501), we get a palindrome (279424972).

The spelling of 105311471 in words is "one hundred five million, three hundred eleven thousand, four hundred seventy-one".