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107564229 = 3227974273
BaseRepresentation
bin1100110100101…
…00110011000101
321111101211101100
412122110303011
5210014023404
614401250313
72444165223
oct632246305
9244354340
10107564229
1155798663
1230033999
1319391796
14103ddb13
15969ad39
hex6694cc5

107564229 has 12 divisors (see below), whose sum is σ = 155462476. Its totient is φ = 71667072.

The previous prime is 107564209. The next prime is 107564251. The reversal of 107564229 is 922465701.

107564229 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 642 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54420129 + 53144100 = 7377^2 + 7290^2 .

It is not a de Polignac number, because 107564229 - 29 = 107563717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107564193 and 107564202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107564209) 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 11 ways as a sum of consecutive naturals, for example, 23037 + ... + 27309.

Almost surely, 2107564229 is an apocalyptic number.

It is an amenable number.

107564229 is a deficient number, since it is larger than the sum of its proper divisors (47898247).

107564229 is a wasteful number, since it uses less digits than its factorization.

107564229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 107564229 is about 10371.3176115670. The cubic root of 107564229 is about 475.5789490992.

The spelling of 107564229 in words is "one hundred seven million, five hundred sixty-four thousand, two hundred twenty-nine".

Divisors: 1 3 9 2797 4273 8391 12819 25173 38457 11951581 35854743 107564229