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106005211 = 1313735939
BaseRepresentation
bin1100101000110…
…00001011011011
321101110121210221
412110120023123
5204114131321
614304020511
72425013044
oct624301333
9241417727
10106005211
1154923314
122b601737
1318c66ca0
14101158cb
15948de41
hex65182db

106005211 has 8 divisors (see below), whose sum is σ = 114261840. Its totient is φ = 97763232.

The previous prime is 106005209. The next prime is 106005227. The reversal of 106005211 is 112500601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106005211 - 21 = 106005209 is a prime.

It is a super-2 number, since 2×1060052112 = 22474209518309042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106005311) 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 in 7 ways as a sum of consecutive naturals, for example, 14880 + ... + 20818.

It is an arithmetic number, because the mean of its divisors is an integer number (14282730).

Almost surely, 2106005211 is an apocalyptic number.

106005211 is a deficient number, since it is larger than the sum of its proper divisors (8256629).

106005211 is a wasteful number, since it uses less digits than its factorization.

106005211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325.

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 106005211 is about 10295.8832064083. The cubic root of 106005211 is about 473.2701042411.

Adding to 106005211 its reverse (112500601), we get a palindrome (218505812).

The spelling of 106005211 in words is "one hundred six million, five thousand, two hundred eleven".

Divisors: 1 13 1373 5939 17849 77207 8154247 106005211