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105142129 is a prime number
BaseRepresentation
bin1100100010001…
…01011101110001
321022211202212221
412101011131301
5203404022004
614233321041
72414456551
oct621053561
9238752787
10105142129
1154393924
122b266181
1318a241a1
14dd6d161
15936d354
hex6445771

105142129 has 2 divisors, whose sum is σ = 105142130. Its totient is φ = 105142128.

The previous prime is 105142099. The next prime is 105142133. The reversal of 105142129 is 921241501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98109025 + 7033104 = 9905^2 + 2652^2 .

It is a cyclic number.

It is not a de Polignac number, because 105142129 - 219 = 104617841 is a prime.

It is a super-2 number, since 2×1051421292 = 22109734581305282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105142199) 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, 52571064 + 52571065.

It is an arithmetic number, because the mean of its divisors is an integer number (52571065).

Almost surely, 2105142129 is an apocalyptic number.

It is an amenable number.

105142129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105142129 is an equidigital number, since it uses as much as digits as its factorization.

105142129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105142129 is about 10253.8836057369. The cubic root of 105142129 is about 471.9821659090.

The spelling of 105142129 in words is "one hundred five million, one hundred forty-two thousand, one hundred twenty-nine".