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105313471 = 298343753
BaseRepresentation
bin1100100011011…
…11010010111111
321100011110220221
412101233102333
5203430012341
614241122211
72416102234
oct621572277
9240143827
10105313471
11544a062a
122b329367
1318a84183
14ddb578b
1593a3ed1
hex646f4bf

105313471 has 8 divisors (see below), whose sum is σ = 110260080. Its totient is φ = 100454592.

The previous prime is 105313469. The next prime is 105313477. The reversal of 105313471 is 174313501.

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 105313471 - 21 = 105313469 is a prime.

It is a super-3 number, since 3×1053134713 (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 (105313477) 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, 19470 + ... + 24283.

It is an arithmetic number, because the mean of its divisors is an integer number (13782510).

Almost surely, 2105313471 is an apocalyptic number.

105313471 is a deficient number, since it is larger than the sum of its proper divisors (4946609).

105313471 is an equidigital number, since it uses as much as digits as its factorization.

105313471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43865.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105313471 is about 10262.2351853775. The cubic root of 105313471 is about 472.2384110487.

Adding to 105313471 its reverse (174313501), we get a palindrome (279626972).

The spelling of 105313471 in words is "one hundred five million, three hundred thirteen thousand, four hundred seventy-one".

Divisors: 1 29 83 2407 43753 1268837 3631499 105313471