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106005217 = 176235601
BaseRepresentation
bin1100101000110…
…00001011100001
321101110121211011
412110120023201
5204114131332
614304020521
72425013053
oct624301341
9241417734
10106005217
115492331a
122b601741
1318c66ca6
14101158d3
15948de47
hex65182e1

106005217 has 4 divisors (see below), whose sum is σ = 112240836. Its totient is φ = 99769600.

The previous prime is 106005209. The next prime is 106005227. The reversal of 106005217 is 712500601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 55935441 + 50069776 = 7479^2 + 7076^2 .

It is not a de Polignac number, because 106005217 - 23 = 106005209 is a prime.

It is a super-2 number, since 2×1060052172 = 22474212062434178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106005227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3117784 + ... + 3117817.

It is an arithmetic number, because the mean of its divisors is an integer number (28060209).

Almost surely, 2106005217 is an apocalyptic number.

106005217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106005217 is a deficient number, since it is larger than the sum of its proper divisors (6235619).

106005217 is an equidigital number, since it uses as much as digits as its factorization.

106005217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235618.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 106005217 is about 10295.8834977869. The cubic root of 106005217 is about 473.2701131703.

Adding to 106005217 its reverse (712500601), we get a palindrome (818505818).

The spelling of 106005217 in words is "one hundred six million, five thousand, two hundred seventeen".

Divisors: 1 17 6235601 106005217