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105843989 = 1728122157
BaseRepresentation
bin1100100111100…
…00110100010101
321101011102122202
412103300310111
5204044001424
614300334245
72423442026
oct623606425
9241142582
10105843989
1154823179
122b544385
1318c0b7a4
14100b2c4d
15945b2ae
hex64f0d15

105843989 has 8 divisors (see below), whose sum is σ = 112474008. Its totient is φ = 99258880.

The previous prime is 105843979. The next prime is 105844033. The reversal of 105843989 is 989348501.

It can be written as a sum of positive squares in 4 ways, for example, as 57304900 + 48539089 = 7570^2 + 6967^2 .

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 105843989 - 220 = 104795413 is a prime.

It is a super-2 number, since 2×1058439892 = 22405900014864242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105843929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6302 + ... + 15855.

It is an arithmetic number, because the mean of its divisors is an integer number (14059251).

Almost surely, 2105843989 is an apocalyptic number.

It is an amenable number.

105843989 is a deficient number, since it is larger than the sum of its proper divisors (6630019).

105843989 is a wasteful number, since it uses less digits than its factorization.

105843989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22455.

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 105843989 is about 10288.0507871997. The cubic root of 105843989 is about 473.0300523079.

The spelling of 105843989 in words is "one hundred five million, eight hundred forty-three thousand, nine hundred eighty-nine".

Divisors: 1 17 281 4777 22157 376669 6226117 105843989