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105102827 is a prime number
BaseRepresentation
bin1100100001110…
…11110111101011
321022202202222022
412100323313223
5203401242302
614232415055
72414234144
oct620736753
9238682868
10105102827
1154367345
122b24748b
1318a0c32b
14dd5cacb
1593618a2
hex643bdeb

105102827 has 2 divisors, whose sum is σ = 105102828. Its totient is φ = 105102826.

The previous prime is 105102779. The next prime is 105102871. The reversal of 105102827 is 728201501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105102827 - 212 = 105098731 is a prime.

It is a super-2 number, since 2×1051028272 = 22093208486783858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105102796 and 105102805.

It is not a weakly prime, because it can be changed into another prime (105102887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52551413 + 52551414.

It is an arithmetic number, because the mean of its divisors is an integer number (52551414).

Almost surely, 2105102827 is an apocalyptic number.

105102827 is a deficient number, since it is larger than the sum of its proper divisors (1).

105102827 is an equidigital number, since it uses as much as digits as its factorization.

105102827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 105102827 is about 10251.9669819991. The cubic root of 105102827 is about 471.9233497934.

The spelling of 105102827 in words is "one hundred five million, one hundred two thousand, eight hundred twenty-seven".