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105847389 = 3217691813
BaseRepresentation
bin1100100111100…
…01101001011101
321101011121022200
412103301221131
5204044104024
614300402113
72423454654
oct623615135
9241147280
10105847389
115482578a
122b546339
1318c101bb
14100b419b
15945c2c9
hex64f1a5d

105847389 has 12 divisors (see below), whose sum is σ = 161884476. Its totient is φ = 66413952.

The previous prime is 105847387. The next prime is 105847397. The reversal of 105847389 is 983748501.

It can be written as a sum of positive squares in 2 ways, for example, as 89927289 + 15920100 = 9483^2 + 3990^2 .

It is not a de Polignac number, because 105847389 - 21 = 105847387 is a prime.

It is a super-2 number, since 2×1058473892 = 22407339516234642, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105847387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345754 + ... + 346059.

It is an arithmetic number, because the mean of its divisors is an integer number (13490373).

Almost surely, 2105847389 is an apocalyptic number.

It is an amenable number.

105847389 is a deficient number, since it is larger than the sum of its proper divisors (56037087).

105847389 is a wasteful number, since it uses less digits than its factorization.

105847389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691836 (or 691833 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 105847389 is about 10288.2160261145. The cubic root of 105847389 is about 473.0351172624.

The spelling of 105847389 in words is "one hundred five million, eight hundred forty-seven thousand, three hundred eighty-nine".

Divisors: 1 3 9 17 51 153 691813 2075439 6226317 11760821 35282463 105847389