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105047943 = 37111334981
BaseRepresentation
bin1100100001011…
…10011110000111
321022122222200120
412100232132013
5203343013233
614231313023
72413615140
oct620563607
9238588616
10105047943
115432a090
122b21b773
13189c0360
14dd46ac7
1593504b3
hex642e787

105047943 has 32 divisors (see below), whose sum is σ = 188063232. Its totient is φ = 50371200.

The previous prime is 105047939. The next prime is 105047963. The reversal of 105047943 is 349740501.

It is not a de Polignac number, because 105047943 - 22 = 105047939 is a prime.

It is a super-2 number, since 2×1050479432 = 22070140657062498, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105047963) 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, 14488 + ... + 20493.

It is an arithmetic number, because the mean of its divisors is an integer number (5876976).

Almost surely, 2105047943 is an apocalyptic number.

105047943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105047943 is a deficient number, since it is larger than the sum of its proper divisors (83015289).

105047943 is a wasteful number, since it uses less digits than its factorization.

105047943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35015.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105047943 is about 10249.2898778403. The cubic root of 105047943 is about 471.8411904083.

The spelling of 105047943 in words is "one hundred five million, forty-seven thousand, nine hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 34981 104943 244867 384791 454753 734601 1154373 1364259 2693537 3183271 5002283 8080611 9549813 15006849 35015981 105047943