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106234309 = 1723211813
BaseRepresentation
bin1100101010100…
…00000111000101
321101220021002001
412111100013011
5204143444214
614312545301
72426656006
oct625200705
9241807061
10106234309
1154a6a455
122b6b2231
131901734c
14101751ad
1594d6c74
hex65501c5

106234309 has 12 divisors (see below), whose sum is σ = 117596556. Its totient is φ = 95629952.

The previous prime is 106234307. The next prime is 106234327. The reversal of 106234309 is 903432601.

It can be written as a sum of positive squares in 2 ways, for example, as 62964225 + 43270084 = 7935^2 + 6578^2 .

It is not a de Polignac number, because 106234309 - 21 = 106234307 is a prime.

It is a super-2 number, since 2×1062343092 = 22571456817414962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106234307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3087 + ... + 14899.

It is an arithmetic number, because the mean of its divisors is an integer number (9799713).

Almost surely, 2106234309 is an apocalyptic number.

It is an amenable number.

106234309 is a deficient number, since it is larger than the sum of its proper divisors (11362247).

106234309 is a wasteful number, since it uses less digits than its factorization.

106234309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 106234309 is about 10307.0029106428. The cubic root of 106234309 is about 473.6108020162.

The spelling of 106234309 in words is "one hundred six million, two hundred thirty-four thousand, three hundred nine".

Divisors: 1 17 23 391 529 8993 11813 200821 271699 4618883 6249077 106234309