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105432513 = 3734311117
BaseRepresentation
bin1100100100011…
…00010111000001
321100101112012220
412102030113001
5203442320023
614243441253
72420106264
oct622142701
9240345186
10105432513
115457200a
122b386229
1318ac6404
1410006cdb
1593c93e3
hex648c5c1

105432513 has 16 divisors (see below), whose sum is σ = 142960896. Its totient is φ = 69102720.

The previous prime is 105432511. The next prime is 105432527. The reversal of 105432513 is 315234501.

It is not a de Polignac number, because 105432513 - 21 = 105432511 is a prime.

It is a super-2 number, since 2×1054325132 = 22232029594990338, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105432511) 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 15 ways as a sum of consecutive naturals, for example, 93831 + ... + 94947.

It is an arithmetic number, because the mean of its divisors is an integer number (8935056).

Almost surely, 2105432513 is an apocalyptic number.

It is an amenable number.

105432513 is a deficient number, since it is larger than the sum of its proper divisors (37528383).

105432513 is a wasteful number, since it uses less digits than its factorization.

105432513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105432513 is about 10268.0335507827. The cubic root of 105432513 is about 472.4162769830.

The spelling of 105432513 in words is "one hundred five million, four hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 3 73 219 431 1117 1293 3351 31463 81541 94389 244623 481427 1444281 35144171 105432513