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106050318 = 231117313049
BaseRepresentation
bin1100101001000…
…11001100001110
321101112220200120
412110203030032
5204122102233
614305005410
72425261413
oct624431416
9241486616
10106050318
11549541a0
122b623866
1318c8168a
141012810a
15949c4b3
hex652330e

106050318 has 64 divisors (see below), whose sum is σ = 252979200. Its totient is φ = 29260800.

The previous prime is 106050293. The next prime is 106050319. The reversal of 106050318 is 813050601.

It is a super-2 number, since 2×1060503182 = 22493339895802248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106050319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33258 + ... + 36306.

It is an arithmetic number, because the mean of its divisors is an integer number (3952800).

Almost surely, 2106050318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106050318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126489600).

106050318 is an abundant number, since it is smaller than the sum of its proper divisors (146928882).

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

106050318 is a wasteful number, since it uses less digits than its factorization.

106050318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 106050318 is about 10298.0735091569. The cubic root of 106050318 is about 473.3372228515.

The spelling of 106050318 in words is "one hundred six million, fifty thousand, three hundred eighteen".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 186 187 341 374 527 561 682 1023 1054 1122 1581 2046 3049 3162 5797 6098 9147 11594 17391 18294 33539 34782 51833 67078 94519 100617 103666 155499 189038 201234 283557 310998 567114 570163 1039709 1140326 1606823 1710489 2079418 3119127 3213646 3420978 4820469 6238254 9640938 17675053 35350106 53025159 106050318