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106010718 = 23112997571
BaseRepresentation
bin1100101000110…
…01100001011110
321101110220100220
412110121201132
5204114320333
614304102210
72425035102
oct624314136
9241426326
10106010718
1154927470
122b604966
1318c69648
1410117902
1594908b3
hex651985e

106010718 has 64 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 30643200.

The previous prime is 106010717. The next prime is 106010719. The reversal of 106010718 is 817010601.

It is an interprime number because it is at equal distance from previous prime (106010717) and next prime (106010719).

It is a super-2 number, since 2×1060107182 = 22476544661751048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010717) 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 31 ways as a sum of consecutive naturals, for example, 185373 + ... + 185943.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2106010718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

106010718 is an abundant number, since it is smaller than the sum of its proper divisors (136151202).

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

106010718 is a wasteful number, since it uses less digits than its factorization.

106010718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713.

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 106010718 is about 10296.1506399236. The cubic root of 106010718 is about 473.2782996035.

The spelling of 106010718 in words is "one hundred six million, ten thousand, seven hundred eighteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 174 194 291 319 571 582 638 957 1067 1142 1713 1914 2134 2813 3201 3426 5626 6281 6402 8439 12562 16559 16878 18843 30943 33118 37686 49677 55387 61886 92829 99354 110774 166161 182149 185658 332322 364298 546447 609257 1092894 1218514 1606223 1827771 3212446 3655542 4818669 9637338 17668453 35336906 53005359 106010718