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105355331 is a prime number
BaseRepresentation
bin1100100011110…
…01100001000011
321100020121100022
412101321201003
5203432332311
614242044055
72416335254
oct621714103
9240217308
10105355331
115451a024
122b34962b
1318a9a243
14ddc6b2b
1593b15db
hex6479843

105355331 has 2 divisors, whose sum is σ = 105355332. Its totient is φ = 105355330.

The previous prime is 105355277. The next prime is 105355333. The reversal of 105355331 is 133553501.

It is a strong prime.

It is an emirp because it is prime and its reverse (133553501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105355331 is a prime.

It is a super-2 number, since 2×1053553312 = 22199491540239122, which contains 22 as substring.

Together with 105355333, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105355331.

It is not a weakly prime, because it can be changed into another prime (105355333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677665 + 52677666.

It is an arithmetic number, because the mean of its divisors is an integer number (52677666).

Almost surely, 2105355331 is an apocalyptic number.

105355331 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355331 is an equidigital number, since it uses as much as digits as its factorization.

105355331 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3375, while the sum is 26.

The square root of 105355331 is about 10264.2744994471. The cubic root of 105355331 is about 472.3009712042.

The spelling of 105355331 in words is "one hundred five million, three hundred fifty-five thousand, three hundred thirty-one".