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106204005 = 3252360089
BaseRepresentation
bin1100101010010…
…00101101100101
321101211201111200
412111020231211
5204142012010
614312153113
72426501445
oct625105545
9241751450
10106204005
1154a49706
122b698799
131900660b
1410168125
1594cccc0
hex6548b65

106204005 has 12 divisors (see below), whose sum is σ = 184087020. Its totient is φ = 56642112.

The previous prime is 106203961. The next prime is 106204009. The reversal of 106204005 is 500402601.

It is a happy number.

106204005 is a `hidden beast` number, since 1 + 0 + 620 + 40 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79174404 + 27029601 = 8898^2 + 5199^2 .

It is not a de Polignac number, because 106204005 - 26 = 106203941 is a prime.

It is a super-2 number, since 2×1062040052 = 22558581356080050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106204009) 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 11 ways as a sum of consecutive naturals, for example, 1180000 + ... + 1180089.

It is an arithmetic number, because the mean of its divisors is an integer number (15340585).

Almost surely, 2106204005 is an apocalyptic number.

106204005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106204005 is a deficient number, since it is larger than the sum of its proper divisors (77883015).

106204005 is a wasteful number, since it uses less digits than its factorization.

106204005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360100 (or 2360097 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 106204005 is about 10305.5327373212. The cubic root of 106204005 is about 473.5657642540.

Adding to 106204005 its reverse (500402601), we get a palindrome (606606606).

The spelling of 106204005 in words is "one hundred six million, two hundred four thousand, five".

Divisors: 1 3 5 9 15 45 2360089 7080267 11800445 21240801 35401335 106204005