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105345681 = 3723218107
BaseRepresentation
bin1100100011101…
…11001010010001
321100020010002220
412101313022101
5203432030211
614241531253
72416265160
oct621671221
9240203086
10105345681
1154512851
122b343b29
1318a95a2c
14ddc33d7
1593ad806
hex6477291

105345681 has 16 divisors (see below), whose sum is σ = 167506944. Its totient is φ = 57579984.

The previous prime is 105345677. The next prime is 105345683. The reversal of 105345681 is 186543501.

It is not a de Polignac number, because 105345681 - 22 = 105345677 is a prime.

It is a super-2 number, since 2×1053456812 = 22195425010707522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105345683) 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, 108571 + ... + 109536.

It is an arithmetic number, because the mean of its divisors is an integer number (10469184).

Almost surely, 2105345681 is an apocalyptic number.

It is an amenable number.

105345681 is a deficient number, since it is larger than the sum of its proper divisors (62161263).

105345681 is a wasteful number, since it uses less digits than its factorization.

105345681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218140.

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 105345681 is about 10263.8044116205. The cubic root of 105345681 is about 472.2865506603.

The spelling of 105345681 in words is "one hundred five million, three hundred forty-five thousand, six hundred eighty-one".

Divisors: 1 3 7 21 23 69 161 483 218107 654321 1526749 4580247 5016461 15049383 35115227 105345681