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106006060 = 22567239331
BaseRepresentation
bin1100101000110…
…00011000101100
321101110122222101
412110120120230
5204114143220
614304024444
72425015366
oct624303054
9241418871
10106006060
1154923a16
122b602124
1318c674a4
1410115d36
15948e30a
hex651862c

106006060 has 48 divisors (see below), whose sum is σ = 227566080. Its totient is φ = 41469120.

The previous prime is 106006037. The next prime is 106006093. The reversal of 106006060 is 60600601.

It is a happy number.

It is a super-2 number, since 2×1060060602 = 22474569513447200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 320095 + ... + 320425.

It is an arithmetic number, because the mean of its divisors is an integer number (4740960).

Almost surely, 2106006060 is an apocalyptic number.

106006060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006060 is an abundant number, since it is smaller than the sum of its proper divisors (121560020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106006060 is a wasteful number, since it uses less digits than its factorization.

106006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 106006060 is about 10295.9244363972. The cubic root of 106006060 is about 473.2713677175.

Adding to 106006060 its reverse (60600601), we get a palindrome (166606661).

The spelling of 106006060 in words is "one hundred six million, six thousand, sixty".

Divisors: 1 2 4 5 10 20 67 134 239 268 331 335 478 662 670 956 1195 1324 1340 1655 2390 3310 4780 6620 16013 22177 32026 44354 64052 79109 80065 88708 110885 158218 160130 221770 316436 320260 395545 443540 791090 1582180 5300303 10600606 21201212 26501515 53003030 106006060