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105136607 is a prime number
BaseRepresentation
bin1100100010001…
…00000111011111
321022211111022102
412101010013133
5203403332412
614233235315
72414434502
oct621040737
9238744272
10105136607
115438a764
122b262b3b
1318a21814
14dd6b139
15936b8c2
hex64441df

105136607 has 2 divisors, whose sum is σ = 105136608. Its totient is φ = 105136606.

The previous prime is 105136583. The next prime is 105136631. The reversal of 105136607 is 706631501.

It is a balanced prime because it is at equal distance from previous prime (105136583) and next prime (105136631).

It is a cyclic number.

It is not a de Polignac number, because 105136607 - 26 = 105136543 is a prime.

It is a super-2 number, since 2×1051366072 = 22107412262944898, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105136607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105136637) 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 as a sum of consecutive naturals, namely, 52568303 + 52568304.

It is an arithmetic number, because the mean of its divisors is an integer number (52568304).

Almost surely, 2105136607 is an apocalyptic number.

105136607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105136607 is an equidigital number, since it uses as much as digits as its factorization.

105136607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 105136607 is about 10253.6143383687. The cubic root of 105136607 is about 471.9739030266.

The spelling of 105136607 in words is "one hundred five million, one hundred thirty-six thousand, six hundred seven".