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105039909 = 351341811
BaseRepresentation
bin1100100001011…
…00100000100101
321022122120200000
412100230200211
5203342234114
614231211513
72413552542
oct620544045
9238576600
10105039909
1154324047
122b216b99
13189b97c0
14dd43bc9
15934ce09
hex642c825

105039909 has 48 divisors (see below), whose sum is σ = 173793984. Its totient is φ = 62985600.

The previous prime is 105039887. The next prime is 105039917. The reversal of 105039909 is 909930501.

It is not a de Polignac number, because 105039909 - 29 = 105039397 is a prime.

It is a super-2 number, since 2×1050399092 = 22066764965456562, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105039959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129114 + ... + 129924.

It is an arithmetic number, because the mean of its divisors is an integer number (3620708).

Almost surely, 2105039909 is an apocalyptic number.

It is an amenable number.

105039909 is a deficient number, since it is larger than the sum of its proper divisors (68754075).

105039909 is an equidigital number, since it uses as much as digits as its factorization.

105039909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 105039909 is about 10248.8979407544. The cubic root of 105039909 is about 471.8291613968.

The spelling of 105039909 in words is "one hundred five million, thirty-nine thousand, nine hundred nine".

Divisors: 1 3 9 13 27 39 41 81 117 123 243 351 369 533 811 1053 1107 1599 2433 3159 3321 4797 7299 9963 10543 14391 21897 31629 33251 43173 65691 94887 99753 129519 197073 284661 299259 432263 853983 897777 1296789 2561949 2693331 3890367 8079993 11671101 35013303 105039909