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10624109 is a prime number
BaseRepresentation
bin101000100001…
…110001101101
3201222202112112
4220201301231
510204432414
61015413405
7156206036
oct50416155
921882475
1010624109
115aa7061
123684265
13227c972
1415a7a8d
15decd3e
hexa21c6d

10624109 has 2 divisors, whose sum is σ = 10624110. Its totient is φ = 10624108.

The previous prime is 10624093. The next prime is 10624111. The reversal of 10624109 is 90142601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8868484 + 1755625 = 2978^2 + 1325^2 .

It is a cyclic number.

It is not a de Polignac number, because 10624109 - 24 = 10624093 is a prime.

It is a super-2 number, since 2×106241092 = 225743384087762, which contains 22 as substring.

Together with 10624111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10624129) 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 as a sum of consecutive naturals, namely, 5312054 + 5312055.

It is an arithmetic number, because the mean of its divisors is an integer number (5312055).

Almost surely, 210624109 is an apocalyptic number.

It is an amenable number.

10624109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10624109 is an equidigital number, since it uses as much as digits as its factorization.

10624109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 10624109 is about 3259.4645265749. The cubic root of 10624109 is about 219.8353382201.

The spelling of 10624109 in words is "ten million, six hundred twenty-four thousand, one hundred nine".