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105789493 is a prime number
BaseRepresentation
bin1100100111000…
…11100000110101
321101001122220101
412103203200311
5204040230433
614255234101
72423124115
oct623434065
9241048811
10105789493
1154796237
122b518931
1318bbca44
141009b045
15944a07d
hex64e3835

105789493 has 2 divisors, whose sum is σ = 105789494. Its totient is φ = 105789492.

The previous prime is 105789427. The next prime is 105789499. The reversal of 105789493 is 394987501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57653649 + 48135844 = 7593^2 + 6938^2 .

It is a cyclic number.

It is not a de Polignac number, because 105789493 - 221 = 103692341 is a prime.

It is a super-2 number, since 2×1057894932 = 22382833658394098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105789499) 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, 52894746 + 52894747.

It is an arithmetic number, because the mean of its divisors is an integer number (52894747).

Almost surely, 2105789493 is an apocalyptic number.

It is an amenable number.

105789493 is a deficient number, since it is larger than the sum of its proper divisors (1).

105789493 is an equidigital number, since it uses as much as digits as its factorization.

105789493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 105789493 is about 10285.4019367257. The cubic root of 105789493 is about 472.9488552197.

The spelling of 105789493 in words is "one hundred five million, seven hundred eighty-nine thousand, four hundred ninety-three".