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106060110 = 23513172941
BaseRepresentation
bin1100101001001…
…01100101001110
321101120102010020
412110211211032
5204122410420
614305123010
72425332102
oct624454516
9241512106
10106060110
1154960592
122b629466
1318c85c80
141012b902
1594a0340
hex652594e

106060110 has 96 divisors (see below), whose sum is σ = 291507552. Its totient is φ = 24545280.

The previous prime is 106060069. The next prime is 106060117. The reversal of 106060110 is 11060601.

It is a super-2 number, since 2×1060601102 = 22497493866424200, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106060110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060117) 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 47 ways as a sum of consecutive naturals, for example, 112240 + ... + 113180.

It is an arithmetic number, because the mean of its divisors is an integer number (3036537).

Almost surely, 2106060110 is an apocalyptic number.

106060110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106060110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145753776).

106060110 is an abundant number, since it is smaller than the sum of its proper divisors (185447442).

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

106060110 is a wasteful number, since it uses less digits than its factorization.

106060110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106060110 is about 10298.5489269120. The cubic root of 106060110 is about 473.3517907017.

The spelling of 106060110 in words is "one hundred six million, sixty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 289 390 442 510 578 663 867 941 1105 1326 1445 1734 1882 2210 2823 2890 3315 3757 4335 4705 5646 6630 7514 8670 9410 11271 12233 14115 15997 18785 22542 24466 28230 31994 36699 37570 47991 56355 61165 73398 79985 95982 112710 122330 159970 183495 207961 239955 271949 366990 415922 479910 543898 623883 815847 1039805 1247766 1359745 1631694 2079610 2719490 3119415 3535337 4079235 6238830 7070674 8158470 10606011 17676685 21212022 35353370 53030055 106060110