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106271153 is a prime number
BaseRepresentation
bin1100101010110…
…01000110110001
321101222010121122
412111121012301
5204201134103
614313432025
72430201302
oct625310661
9241863548
10106271153
1154a950aa
122b70b615
131902b051
14101847a9
1594e2b38
hex65591b1

106271153 has 2 divisors, whose sum is σ = 106271154. Its totient is φ = 106271152.

The previous prime is 106271149. The next prime is 106271171. The reversal of 106271153 is 351172601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80586529 + 25684624 = 8977^2 + 5068^2 .

It is a cyclic number.

It is not a de Polignac number, because 106271153 - 22 = 106271149 is a prime.

It is a super-2 number, since 2×1062711532 = 22587115919898818, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106277153) 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, 53135576 + 53135577.

It is an arithmetic number, because the mean of its divisors is an integer number (53135577).

Almost surely, 2106271153 is an apocalyptic number.

It is an amenable number.

106271153 is a deficient number, since it is larger than the sum of its proper divisors (1).

106271153 is an equidigital number, since it uses as much as digits as its factorization.

106271153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 106271153 is about 10308.7900841951. The cubic root of 106271153 is about 473.6655479819.

The spelling of 106271153 in words is "one hundred six million, two hundred seventy-one thousand, one hundred fifty-three".