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105583199 is a prime number
BaseRepresentation
bin1100100101100…
…01001001011111
321100200011220212
412102301021133
5204012130244
614251003035
72421304511
oct622611137
9240604825
10105583199
1154665247
122b43947b
1318b49b87
1410045bb1
159408d9e
hex64b125f

105583199 has 2 divisors, whose sum is σ = 105583200. Its totient is φ = 105583198.

The previous prime is 105583193. The next prime is 105583201. The reversal of 105583199 is 991385501.

It is a strong prime.

It is an emirp because it is prime and its reverse (991385501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105583199 is a prime.

It is a super-2 number, since 2×1055831992 = 22295623822147202, which contains 22 as substring.

Together with 105583201, 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 (105583193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52791599 + 52791600.

It is an arithmetic number, because the mean of its divisors is an integer number (52791600).

Almost surely, 2105583199 is an apocalyptic number.

105583199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105583199 is an equidigital number, since it uses as much as digits as its factorization.

105583199 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48600, while the sum is 41.

The square root of 105583199 is about 10275.3685578669. The cubic root of 105583199 is about 472.6412317284.

The spelling of 105583199 in words is "one hundred five million, five hundred eighty-three thousand, one hundred ninety-nine".