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106000605 = 3253536673
BaseRepresentation
bin1100101000101…
…11000011011101
321101110101111100
412110113003131
5204114004410
614303543313
72424663444
oct624270335
9241411440
10106000605
115491a907
122b5bab39
1318c64b69
1410113d5b
15948c8c0
hex65170dd

106000605 has 24 divisors (see below), whose sum is σ = 184282488. Its totient is φ = 56365056.

The previous prime is 106000603. The next prime is 106000619. The reversal of 106000605 is 506000601.

106000605 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 0 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54756 + 105945849 = 234^2 + 10293^2 .

It is not a de Polignac number, because 106000605 - 21 = 106000603 is a prime.

It is a super-2 number, since 2×1060006052 = 22472256520732050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12549 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (7678437).

Almost surely, 2106000605 is an apocalyptic number.

106000605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106000605 is a deficient number, since it is larger than the sum of its proper divisors (78281883).

106000605 is a wasteful number, since it uses less digits than its factorization.

106000605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106000605 is about 10295.6595223424. The cubic root of 106000605 is about 473.2632495037.

The spelling of 106000605 in words is "one hundred six million, six hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 353 1059 1765 3177 5295 6673 15885 20019 33365 60057 100095 300285 2355569 7066707 11777845 21200121 35333535 106000605