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105093353 is a prime number
BaseRepresentation
bin1100100001110…
…01100011101001
321022202021222102
412100321203221
5203400441403
614232303145
72414164421
oct620714351
9238667872
10105093353
1154360212
122b241ab5
1318a07c21
14dd59481
15935db88
hex64398e9

105093353 has 2 divisors, whose sum is σ = 105093354. Its totient is φ = 105093352.

The previous prime is 105093347. The next prime is 105093377. The reversal of 105093353 is 353390501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100240144 + 4853209 = 10012^2 + 2203^2 .

It is a cyclic number.

It is not a de Polignac number, because 105093353 - 28 = 105093097 is a prime.

It is a super-2 number, since 2×1050933532 = 22089225689565218, which contains 22 as substring.

It is equal to p6037742 and since 105093353 and 6037742 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105093343) 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, 52546676 + 52546677.

It is an arithmetic number, because the mean of its divisors is an integer number (52546677).

Almost surely, 2105093353 is an apocalyptic number.

It is an amenable number.

105093353 is a deficient number, since it is larger than the sum of its proper divisors (1).

105093353 is an equidigital number, since it uses as much as digits as its factorization.

105093353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 29.

The square root of 105093353 is about 10251.5049139139. The cubic root of 105093353 is about 471.9091695970.

The spelling of 105093353 in words is "one hundred five million, ninety-three thousand, three hundred fifty-three".