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106824269 is a prime number
BaseRepresentation
bin1100101111000…
…00001001001101
321110000020100102
412113200021031
5204321334034
614333340445
72434664006
oct627401115
9243006312
10106824269
1155332722
122b937725
1319192a36
141028a1ad
1595a197e
hex65e024d

106824269 has 2 divisors, whose sum is σ = 106824270. Its totient is φ = 106824268.

The previous prime is 106824253. The next prime is 106824271. The reversal of 106824269 is 962428601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57304900 + 49519369 = 7570^2 + 7037^2 .

It is a cyclic number.

It is not a de Polignac number, because 106824269 - 24 = 106824253 is a prime.

It is a super-2 number, since 2×1068242692 = 22822848894768722, which contains 22 as substring.

Together with 106824271, 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 (196824269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53412134 + 53412135.

It is an arithmetic number, because the mean of its divisors is an integer number (53412135).

Almost surely, 2106824269 is an apocalyptic number.

It is an amenable number.

106824269 is a deficient number, since it is larger than the sum of its proper divisors (1).

106824269 is an equidigital number, since it uses as much as digits as its factorization.

106824269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 106824269 is about 10335.5826637882. The cubic root of 106824269 is about 474.4858984418.

The spelling of 106824269 in words is "one hundred six million, eight hundred twenty-four thousand, two hundred sixty-nine".