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105331081 is a prime number
BaseRepresentation
bin1100100011100…
…11100110001001
321100012101002011
412101303212021
5203431043311
614241335521
72416204462
oct621634611
9240171064
10105331081
1154502889
122b3375a1
1318a8c1ab
14ddbbd69
1593a9321
hex6473989

105331081 has 2 divisors, whose sum is σ = 105331082. Its totient is φ = 105331080.

The previous prime is 105331033. The next prime is 105331129. The reversal of 105331081 is 180133501.

It is a balanced prime because it is at equal distance from previous prime (105331033) and next prime (105331129).

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 48177481 = 7560^2 + 6941^2 .

It is a cyclic number.

It is not a de Polignac number, because 105331081 - 211 = 105329033 is a prime.

It is a super-2 number, since 2×1053310812 = 22189273249257122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105331181) 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, 52665540 + 52665541.

It is an arithmetic number, because the mean of its divisors is an integer number (52665541).

Almost surely, 2105331081 is an apocalyptic number.

It is an amenable number.

105331081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105331081 is an equidigital number, since it uses as much as digits as its factorization.

105331081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 105331081 is about 10263.0931497283. The cubic root of 105331081 is about 472.2647313756.

Adding to 105331081 its reverse (180133501), we get a palindrome (285464582).

The spelling of 105331081 in words is "one hundred five million, three hundred thirty-one thousand, eighty-one".