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106040214 = 232721091103
BaseRepresentation
bin1100101001000…
…00101110010110
321101112101211100
412110200232112
5204121241324
614304450530
72425220100
oct624405626
9241471740
10106040214
1154947645
122b619a46
1318c79bb7
1410124570
1594994c9
hex6520b96

106040214 has 72 divisors (see below), whose sum is σ = 269961120. Its totient is φ = 29992032.

The previous prime is 106040201. The next prime is 106040239. The reversal of 106040214 is 412040601.

It is a super-2 number, since 2×1060402142 = 22489053970331592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95587 + ... + 96689.

It is an arithmetic number, because the mean of its divisors is an integer number (3749460).

Almost surely, 2106040214 is an apocalyptic number.

106040214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106040214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134980560).

106040214 is an abundant number, since it is smaller than the sum of its proper divisors (163920906).

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

106040214 is a wasteful number, since it uses less digits than its factorization.

106040214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106040214 is about 10297.5829202779. The cubic root of 106040214 is about 473.3221898895.

Adding to 106040214 its reverse (412040601), we get a palindrome (518080815).

The spelling of 106040214 in words is "one hundred six million, forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 109 126 147 218 294 327 441 654 763 882 981 1103 1526 1962 2206 2289 3309 4578 5341 6618 6867 7721 9927 10682 13734 15442 16023 19854 23163 32046 46326 48069 54047 69489 96138 108094 120227 138978 162141 240454 324282 360681 486423 721362 841589 972846 1082043 1683178 2164086 2524767 5049534 5891123 7574301 11782246 15148602 17673369 35346738 53020107 106040214