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105432339 = 361678599
BaseRepresentation
bin1100100100011…
…00010100010011
321100101111222110
412102030110103
5203442313324
614243440403
72420105625
oct622142423
9240344873
10105432339
1154571971
122b386103
1318ac62cc
1410006c15
1593c9329
hex648c513

105432339 has 16 divisors (see below), whose sum is σ = 145030400. Its totient is φ = 68096160.

The previous prime is 105432331. The next prime is 105432359. The reversal of 105432339 is 933234501.

It is not a de Polignac number, because 105432339 - 23 = 105432331 is a prime.

It is a super-2 number, since 2×1054323392 = 22231956214021842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105432331) 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, 7962 + ... + 16560.

It is an arithmetic number, because the mean of its divisors is an integer number (9064400).

Almost surely, 2105432339 is an apocalyptic number.

105432339 is a deficient number, since it is larger than the sum of its proper divisors (39598061).

105432339 is an equidigital number, since it uses as much as digits as its factorization.

105432339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 105432339 is about 10268.0250778813. The cubic root of 105432339 is about 472.4160170996.

The spelling of 105432339 in words is "one hundred five million, four hundred thirty-two thousand, three hundred thirty-nine".

Divisors: 1 3 61 67 183 201 4087 8599 12261 25797 524539 576133 1573617 1728399 35144113 105432339