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105253273 = 1741151009
BaseRepresentation
bin1100100011000…
…00100110011001
321100001102100101
412101200212121
5203421101043
614235535401
72415431566
oct621404631
9240042311
10105253273
115445a384
122b2ba561
1318a62958
14dd9b86d
15939124d
hex6460999

105253273 has 8 divisors (see below), whose sum is σ = 114163560. Its totient is φ = 96645120.

The previous prime is 105253241. The next prime is 105253279. The reversal of 105253273 is 372352501.

It can be written as a sum of positive squares in 4 ways, for example, as 149769 + 105103504 = 387^2 + 10252^2 .

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 105253273 - 25 = 105253241 is a prime.

It is a super-2 number, since 2×1052532732 = 22156502954425058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105253279) 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 7 ways as a sum of consecutive naturals, for example, 74808 + ... + 76201.

It is an arithmetic number, because the mean of its divisors is an integer number (14270445).

Almost surely, 2105253273 is an apocalyptic number.

It is an amenable number.

105253273 is a deficient number, since it is larger than the sum of its proper divisors (8910287).

105253273 is a wasteful number, since it uses less digits than its factorization.

105253273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151067.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105253273 is about 10259.3017793610. The cubic root of 105253273 is about 472.1484155150.

The spelling of 105253273 in words is "one hundred five million, two hundred fifty-three thousand, two hundred seventy-three".

Divisors: 1 17 41 697 151009 2567153 6191369 105253273