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106618386 = 237192337157
BaseRepresentation
bin1100101101011…
…01111000010010
321102121202221010
412112231320102
5204243242021
614325111350
72433145530
oct626557022
9242552833
10106618386
1155201a76
122b858556
1319120104
1410235150
159560976
hex65ade12

106618386 has 128 divisors (see below), whose sum is σ = 276664320. Its totient is φ = 26687232.

The previous prime is 106618381. The next prime is 106618403. The reversal of 106618386 is 683816601.

It is a super-2 number, since 2×1066183862 = 22734960466489992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106618381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679020 + ... + 679176.

It is an arithmetic number, because the mean of its divisors is an integer number (2161440).

Almost surely, 2106618386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106618386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138332160).

106618386 is an abundant number, since it is smaller than the sum of its proper divisors (170045934).

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

106618386 is a wasteful number, since it uses less digits than its factorization.

106618386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106618386 is about 10325.6179476097. The cubic root of 106618386 is about 474.1808759751.

The spelling of 106618386 in words is "one hundred six million, six hundred eighteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 14 19 21 23 37 38 42 46 57 69 74 111 114 133 138 157 161 222 259 266 314 322 399 437 471 483 518 703 777 798 851 874 942 966 1099 1311 1406 1554 1702 2109 2198 2553 2622 2983 3059 3297 3611 4218 4921 5106 5809 5957 5966 6118 6594 7222 8949 9177 9842 10833 11618 11914 14763 16169 17427 17871 17898 18354 20881 21666 25277 29526 32338 34854 35742 40663 41762 48507 50554 62643 68609 75831 81326 97014 110371 113183 121989 125286 133607 137218 151662 205827 220742 226366 243978 267214 331113 339549 400821 411654 480263 662226 679098 772597 801642 935249 960526 1440789 1545194 1870498 2317791 2538533 2805747 2881578 4635582 5077066 5611494 7615599 15231198 17769731 35539462 53309193 106618386