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105056047 is a prime number
BaseRepresentation
bin1100100001100…
…00011100101111
321022200101210201
412100300130233
5203343243142
614231414331
72413650565
oct620603457
9238611721
10105056047
1154335188
122b2243a7
13189c3c55
14dd49a35
159352ab7
hex643072f

105056047 has 2 divisors, whose sum is σ = 105056048. Its totient is φ = 105056046.

The previous prime is 105056041. The next prime is 105056069. The reversal of 105056047 is 740650501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105056047 is a prime.

It is a super-2 number, since 2×1050560472 = 22073546022532418, which contains 22 as substring.

It is equal to p6035734 and since 105056047 and 6035734 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105056041) 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 as a sum of consecutive naturals, namely, 52528023 + 52528024.

It is an arithmetic number, because the mean of its divisors is an integer number (52528024).

Almost surely, 2105056047 is an apocalyptic number.

105056047 is a deficient number, since it is larger than the sum of its proper divisors (1).

105056047 is an equidigital number, since it uses as much as digits as its factorization.

105056047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105056047 is about 10249.6852146785. The cubic root of 105056047 is about 471.8533236070.

The spelling of 105056047 in words is "one hundred five million, fifty-six thousand, forty-seven".