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105383933 is a prime number
BaseRepresentation
bin1100100100000…
…00011111111101
321100022001120122
412102000133331
5203434241213
614242424325
72416514534
oct622003775
9240261518
10105383933
1154539566
122b3620a5
1318aaa275
14ddd331b
1593b9d08
hex64807fd

105383933 has 2 divisors, whose sum is σ = 105383934. Its totient is φ = 105383932.

The previous prime is 105383909. The next prime is 105383939. The reversal of 105383933 is 339383501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97555129 + 7828804 = 9877^2 + 2798^2 .

It is a cyclic number.

It is not a de Polignac number, because 105383933 - 212 = 105379837 is a prime.

It is a super-2 number, since 2×1053839332 = 22211546669096978, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105383893 and 105383902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105383939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52691966 + 52691967.

It is an arithmetic number, because the mean of its divisors is an integer number (52691967).

Almost surely, 2105383933 is an apocalyptic number.

It is an amenable number.

105383933 is a deficient number, since it is larger than the sum of its proper divisors (1).

105383933 is an equidigital number, since it uses as much as digits as its factorization.

105383933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 105383933 is about 10265.6676840817. The cubic root of 105383933 is about 472.3437076276.

The spelling of 105383933 in words is "one hundred five million, three hundred eighty-three thousand, nine hundred thirty-three".