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105405373 is a prime number
BaseRepresentation
bin1100100100001…
…01101110111101
321100100010222201
412102011232331
5203440432443
614243111501
72416634203
oct622055675
9240303881
10105405373
1154553687
122b372591
1318ab6c58
14dddb073
1593c134d
hex6485bbd

105405373 has 2 divisors, whose sum is σ = 105405374. Its totient is φ = 105405372.

The previous prime is 105405371. The next prime is 105405409. The reversal of 105405373 is 373504501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104101209 + 1304164 = 10203^2 + 1142^2 .

It is a cyclic number.

It is not a de Polignac number, because 105405373 - 21 = 105405371 is a prime.

It is a super-2 number, since 2×1054053732 = 22220585314538258, which contains 22 as substring.

Together with 105405371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105405371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702686 + 52702687.

It is an arithmetic number, because the mean of its divisors is an integer number (52702687).

Almost surely, 2105405373 is an apocalyptic number.

It is an amenable number.

105405373 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405373 is an equidigital number, since it uses as much as digits as its factorization.

105405373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105405373 is about 10266.7118884285. The cubic root of 105405373 is about 472.3757376917.

Adding to 105405373 its reverse (373504501), we get a palindrome (478909874).

The spelling of 105405373 in words is "one hundred five million, four hundred five thousand, three hundred seventy-three".