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105243906 = 231723113397
BaseRepresentation
bin1100100010111…
…10010100000010
321100000221111110
412101132110002
5203420301111
614235424150
72415362355
oct621362402
9240027443
10105243906
1154453339
122b2b5056
1318a5b601
14dd9829c
15938d5a6
hex645e502

105243906 has 64 divisors (see below), whose sum is σ = 235208448. Its totient is φ = 31223808.

The previous prime is 105243893. The next prime is 105243911. The reversal of 105243906 is 609342501.

It is a super-2 number, since 2×1052439062 = 22152559500273672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264900 + ... + 265296.

It is an arithmetic number, because the mean of its divisors is an integer number (3675132).

Almost surely, 2105243906 is an apocalyptic number.

105243906 is an abundant number, since it is smaller than the sum of its proper divisors (129964542).

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

105243906 is a wasteful number, since it uses less digits than its factorization.

105243906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 105243906 is about 10258.8452566554. The cubic root of 105243906 is about 472.1344088392.

The spelling of 105243906 in words is "one hundred five million, two hundred forty-three thousand, nine hundred six".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 113 138 226 339 391 397 678 782 794 1173 1191 1921 2346 2382 2599 3842 5198 5763 6749 7797 9131 11526 13498 15594 18262 20247 27393 40494 44183 44861 54786 88366 89722 132549 134583 155227 265098 269166 310454 465681 762637 931362 1031803 1525274 2063606 2287911 3095409 4575822 6190818 17540651 35081302 52621953 105243906