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105774133 is a prime number
BaseRepresentation
bin1100100110111…
…11110000110101
321101000212211111
412103133300311
5204034233013
614255035021
72423031253
oct623376065
9241025744
10105774133
1154785743
122b50ba71
1318bb5a5a
14100955d3
15944573d
hex64dfc35

105774133 has 2 divisors, whose sum is σ = 105774134. Its totient is φ = 105774132.

The previous prime is 105774131. The next prime is 105774181. The reversal of 105774133 is 331477501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 46144849 = 7722^2 + 6793^2 .

It is a cyclic number.

It is not a de Polignac number, because 105774133 - 21 = 105774131 is a prime.

It is a super-2 number, since 2×1057741332 = 22376334423803378, which contains 22 as substring.

Together with 105774131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105774095 and 105774104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105774131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52887066 + 52887067.

It is an arithmetic number, because the mean of its divisors is an integer number (52887067).

Almost surely, 2105774133 is an apocalyptic number.

It is an amenable number.

105774133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105774133 is an equidigital number, since it uses as much as digits as its factorization.

105774133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 105774133 is about 10284.6552202784. The cubic root of 105774133 is about 472.9259643325.

The spelling of 105774133 in words is "one hundred five million, seven hundred seventy-four thousand, one hundred thirty-three".