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106000305 = 3547914753
BaseRepresentation
bin1100101000101…
…10111110110001
321101110101002020
412110112332301
5204114002210
614303542053
72424662535
oct624267661
9241411066
10106000305
115491a664
122b5ba929
1318c64998
1410113bc5
15948c770
hex6516fb1

106000305 has 16 divisors (see below), whose sum is σ = 169966080. Its totient is φ = 56411648.

The previous prime is 106000303. The next prime is 106000327. The reversal of 106000305 is 503000601.

It is a cyclic number.

It is not a de Polignac number, because 106000305 - 21 = 106000303 is a prime.

It is a super-2 number, since 2×1060003052 = 22472129320186050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (106000303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (10622880).

Almost surely, 2106000305 is an apocalyptic number.

106000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106000305 is a deficient number, since it is larger than the sum of its proper divisors (63965775).

106000305 is a wasteful number, since it uses less digits than its factorization.

106000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106000305 is about 10295.6449530857. The cubic root of 106000305 is about 473.2628030310.

Adding to 106000305 its reverse (503000601), we get a palindrome (609000906).

The spelling of 106000305 in words is "one hundred six million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 15 479 1437 2395 7185 14753 44259 73765 221295 7066687 21200061 35333435 106000305