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106105231 is a prime number
BaseRepresentation
bin1100101001100…
…00100110001111
321101122201000101
412110300212033
5204130331411
614310111531
72425610461
oct624604617
9241581011
10106105231
1154991481
122b64b5a7
1318ca067b
1410140131
1594ad8c1
hex653098f

106105231 has 2 divisors, whose sum is σ = 106105232. Its totient is φ = 106105230.

The previous prime is 106105213. The next prime is 106105243. The reversal of 106105231 is 132501601.

Together with previous prime (106105213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106105231 - 217 = 105974159 is a prime.

It is a super-2 number, since 2×1061052312 = 22516640091126722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106105199 and 106105208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106105201) 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, 53052615 + 53052616.

It is an arithmetic number, because the mean of its divisors is an integer number (53052616).

Almost surely, 2106105231 is an apocalyptic number.

106105231 is a deficient number, since it is larger than the sum of its proper divisors (1).

106105231 is an equidigital number, since it uses as much as digits as its factorization.

106105231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 106105231 is about 10300.7393423967. The cubic root of 106105231 is about 473.4189069753.

Adding to 106105231 its reverse (132501601), we get a palindrome (238606832).

The spelling of 106105231 in words is "one hundred six million, one hundred five thousand, two hundred thirty-one".