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105335381 is a prime number
BaseRepresentation
bin1100100011101…
…00101001010101
321100012120222102
412101310221111
5203431213011
614241411445
72416223144
oct621645125
9240176872
10105335381
1154506038
122b339b85
1318a91138
14ddbd75b
1593aa73b
hex6474a55

105335381 has 2 divisors, whose sum is σ = 105335382. Its totient is φ = 105335380.

The previous prime is 105335371. The next prime is 105335441. The reversal of 105335381 is 183533501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104734756 + 600625 = 10234^2 + 775^2 .

It is a cyclic number.

It is not a de Polignac number, because 105335381 - 26 = 105335317 is a prime.

It is a super-2 number, since 2×1053353812 = 22191084980830322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105335371) 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, 52667690 + 52667691.

It is an arithmetic number, because the mean of its divisors is an integer number (52667691).

Almost surely, 2105335381 is an apocalyptic number.

It is an amenable number.

105335381 is a deficient number, since it is larger than the sum of its proper divisors (1).

105335381 is an equidigital number, since it uses as much as digits as its factorization.

105335381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105335381 is about 10263.3026360914. The cubic root of 105335381 is about 472.2711578127.

Adding to 105335381 its reverse (183533501), we get a palindrome (288868882).

The spelling of 105335381 in words is "one hundred five million, three hundred thirty-five thousand, three hundred eighty-one".