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105317983 is a prime number
BaseRepresentation
bin1100100011100…
…00011001011111
321100011201010001
412101300121133
5203430133413
614241155131
72416121341
oct621603137
9240151101
10105317983
11544a3a61
122b32baa7
1318a86244
14ddb7291
1593a54dd
hex647065f

105317983 has 2 divisors, whose sum is σ = 105317984. Its totient is φ = 105317982.

The previous prime is 105317939. The next prime is 105317999. The reversal of 105317983 is 389713501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105317983 is a prime.

It is a super-2 number, since 2×1053179832 = 22183755086376578, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105317923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52658991 + 52658992.

It is an arithmetic number, because the mean of its divisors is an integer number (52658992).

Almost surely, 2105317983 is an apocalyptic number.

105317983 is a deficient number, since it is larger than the sum of its proper divisors (1).

105317983 is an equidigital number, since it uses as much as digits as its factorization.

105317983 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105317983 is about 10262.4550181718. The cubic root of 105317983 is about 472.2451550713.

The spelling of 105317983 in words is "one hundred five million, three hundred seventeen thousand, nine hundred eighty-three".