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105834397 is a prime number
BaseRepresentation
bin1100100111011…
…10011110011101
321101010221111111
412103232132131
5204043200042
614300222021
72423402044
oct623563635
9241127444
10105834397
1154816a49
122b53a911
1318c07306
14100ad55b
159458517
hex64ee79d

105834397 has 2 divisors, whose sum is σ = 105834398. Its totient is φ = 105834396.

The previous prime is 105834361. The next prime is 105834409. The reversal of 105834397 is 793438501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 3136441 = 10134^2 + 1771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105834397 is a prime.

It is a super-2 number, since 2×1058343972 = 22401839176707218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105834317) 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, 52917198 + 52917199.

It is an arithmetic number, because the mean of its divisors is an integer number (52917199).

Almost surely, 2105834397 is an apocalyptic number.

It is an amenable number.

105834397 is a deficient number, since it is larger than the sum of its proper divisors (1).

105834397 is an equidigital number, since it uses as much as digits as its factorization.

105834397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 105834397 is about 10287.5846047554. The cubic root of 105834397 is about 473.0157625929.

The spelling of 105834397 in words is "one hundred five million, eight hundred thirty-four thousand, three hundred ninety-seven".