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10105309 is a prime number
BaseRepresentation
bin100110100011…
…000111011101
3201000101212201
4212203013131
510041332214
61000331501
7151615354
oct46430735
921011781
1010105309
1157822a5
123473b91
13212a796
1414b099b
15d49274
hex9a31dd

10105309 has 2 divisors, whose sum is σ = 10105310. Its totient is φ = 10105308.

The previous prime is 10105267. The next prime is 10105367. The reversal of 10105309 is 90350101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10099684 + 5625 = 3178^2 + 75^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105309 - 213 = 10097117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105709) 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, 5052654 + 5052655.

It is an arithmetic number, because the mean of its divisors is an integer number (5052655).

Almost surely, 210105309 is an apocalyptic number.

It is an amenable number.

10105309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105309 is an equidigital number, since it uses as much as digits as its factorization.

10105309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 10105309 is about 3178.8848673709. The cubic root of 10105309 is about 216.1971008969.

The spelling of 10105309 in words is "ten million, one hundred five thousand, three hundred nine".