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106218324 = 22332361701
BaseRepresentation
bin1100101010011…
…00001101010100
321101212110011000
412111030031110
5204142441244
614312343300
72426561262
oct625141524
9241773130
10106218324
1154a59443
122b6a4b30
131900cca4
141016d432
1594d2169
hex654c354

106218324 has 96 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 33264000.

The previous prime is 106218289. The next prime is 106218377. The reversal of 106218324 is 423812601.

106218324 is a `hidden beast` number, since 1 + 0 + 621 + 8 + 32 + 4 = 666.

It is a super-2 number, since 2×1062183242 = 22564664706737952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151174 + ... + 151874.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2106218324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106218324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

106218324 is an abundant number, since it is smaller than the sum of its proper divisors (186262956).

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

106218324 is a wasteful number, since it uses less digits than its factorization.

106218324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106218324 is about 10306.2274378164. The cubic root of 106218324 is about 473.5870461992.

The spelling of 106218324 in words is "one hundred six million, two hundred eighteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 61 69 92 108 122 138 183 207 244 276 366 414 549 621 701 732 828 1098 1242 1402 1403 1647 2103 2196 2484 2804 2806 3294 4206 4209 5612 6309 6588 8412 8418 12618 12627 16123 16836 18927 25236 25254 32246 37854 37881 42761 48369 50508 64492 75708 75762 85522 96738 128283 145107 151524 171044 193476 256566 290214 384849 435321 513132 580428 769698 870642 983503 1154547 1539396 1741284 1967006 2309094 2950509 3934012 4618188 5901018 8851527 11802036 17703054 26554581 35406108 53109162 106218324