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105210437 is a prime number
BaseRepresentation
bin1100100010101…
…10001001000101
321022222020120212
412101112021011
5203413213222
614235005205
72415162653
oct621261105
9238866525
10105210437
1154430182
122b299805
1318a492c7
14dd89dd3
1593836e2
hex6456245

105210437 has 2 divisors, whose sum is σ = 105210438. Its totient is φ = 105210436.

The previous prime is 105210431. The next prime is 105210439. The reversal of 105210437 is 734012501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82609921 + 22600516 = 9089^2 + 4754^2 .

It is a cyclic number.

It is not a de Polignac number, because 105210437 - 212 = 105206341 is a prime.

It is a super-2 number, since 2×1052104372 = 22138472107461938, which contains 22 as substring.

Together with 105210439, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105210431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52605218 + 52605219.

It is an arithmetic number, because the mean of its divisors is an integer number (52605219).

Almost surely, 2105210437 is an apocalyptic number.

It is an amenable number.

105210437 is a deficient number, since it is larger than the sum of its proper divisors (1).

105210437 is an equidigital number, since it uses as much as digits as its factorization.

105210437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 105210437 is about 10257.2139004702. The cubic root of 105210437 is about 472.0843551354.

Adding to 105210437 its reverse (734012501), we get a palindrome (839222938).

The spelling of 105210437 in words is "one hundred five million, two hundred ten thousand, four hundred thirty-seven".