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105106273 is a prime number
BaseRepresentation
bin1100100001111…
…00101101100001
321022202221200221
412100330231201
5203401400043
614232443041
72414250166
oct620745541
9238687627
10105106273
1154369998
122b249481
1318a10a7c
14dd6006d
1593628ed
hex643cb61

105106273 has 2 divisors, whose sum is σ = 105106274. Its totient is φ = 105106272.

The previous prime is 105106217. The next prime is 105106277. The reversal of 105106273 is 372601501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60109009 + 44997264 = 7753^2 + 6708^2 .

It is a cyclic number.

It is not a de Polignac number, because 105106273 - 217 = 104975201 is a prime.

It is a super-2 number, since 2×1051062732 = 22094657247901058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105106277) 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, 52553136 + 52553137.

It is an arithmetic number, because the mean of its divisors is an integer number (52553137).

Almost surely, 2105106273 is an apocalyptic number.

It is an amenable number.

105106273 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106273 is an equidigital number, since it uses as much as digits as its factorization.

105106273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 105106273 is about 10252.1350459307. The cubic root of 105106273 is about 471.9285073777.

Adding to 105106273 its reverse (372601501), we get a palindrome (477707774).

The spelling of 105106273 in words is "one hundred five million, one hundred six thousand, two hundred seventy-three".