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105043806 = 23272367541
BaseRepresentation
bin1100100001011…
…01011101011110
321022122210000100
412100231131132
5203342400211
614231241530
72413600110
oct620553536
9238583010
10105043806
1154326a6a
122b2192a6
13189bb4ca
14dd453b0
15934e156
hex642d75e

105043806 has 96 divisors (see below), whose sum is σ = 275977728. Its totient is φ = 28226880.

The previous prime is 105043793. The next prime is 105043811. The reversal of 105043806 is 608340501.

It is a super-2 number, since 2×1050438062 = 22068402357931272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105043806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193896 + ... + 194436.

It is an arithmetic number, because the mean of its divisors is an integer number (2874768).

Almost surely, 2105043806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105043806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137988864).

105043806 is an abundant number, since it is smaller than the sum of its proper divisors (170933922).

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

105043806 is a wasteful number, since it uses less digits than its factorization.

105043806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105043806 is about 10249.0880569932. The cubic root of 105043806 is about 471.8349963076.

The spelling of 105043806 in words is "one hundred five million, forty-three thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 67 69 126 134 138 161 201 207 322 402 414 469 483 541 603 938 966 1082 1206 1407 1449 1541 1623 2814 2898 3082 3246 3787 4221 4623 4869 7574 8442 9246 9738 10787 11361 12443 13869 21574 22722 24886 27738 32361 34083 36247 37329 64722 68166 72494 74658 87101 97083 108741 111987 174202 194166 217482 223974 253729 261303 326223 507458 522606 652446 761187 783909 833681 1522374 1567818 1667362 2283561 2501043 4567122 5002086 5835767 7503129 11671534 15006258 17507301 35014602 52521903 105043806