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106187343 = 32311313619
BaseRepresentation
bin1100101010001…
…00101001001111
321101210212122120
412111010221033
5204140443333
614311544023
72426402043
oct625045117
9241725576
10106187343
1154a38139
122b68b013
1318ccbb62
1410162023
1594c7db3
hex6544a4f

106187343 has 16 divisors (see below), whose sum is σ = 149057280. Its totient is φ = 67109504.

The previous prime is 106187329. The next prime is 106187353. The reversal of 106187343 is 343781601.

It is a cyclic number.

It is not a de Polignac number, because 106187343 - 24 = 106187327 is a prime.

It is a super-2 number, since 2×1061873432 = 22551503626799298, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106187303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (9316080).

Almost surely, 2106187343 is an apocalyptic number.

106187343 is a deficient number, since it is larger than the sum of its proper divisors (42869937).

106187343 is a wasteful number, since it uses less digits than its factorization.

106187343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13758.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 106187343 is about 10304.7243049002. The cubic root of 106187343 is about 473.5409975626.

The spelling of 106187343 in words is "one hundred six million, one hundred eighty-seven thousand, three hundred forty-three".

Divisors: 1 3 23 69 113 339 2599 7797 13619 40857 313237 939711 1538947 4616841 35395781 106187343