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106303973 is a prime number
BaseRepresentation
bin1100101011000…
…01000111100101
321102000210122012
412111201013211
5204203211343
614314244005
72430366056
oct625410745
9242023565
10106303973
1155007826
122b726605
131903cc79
141019272d
1594ec718
hex65611e5

106303973 has 2 divisors, whose sum is σ = 106303974. Its totient is φ = 106303972.

The previous prime is 106303963. The next prime is 106303979. The reversal of 106303973 is 379303601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58721569 + 47582404 = 7663^2 + 6898^2 .

It is an emirp because it is prime and its reverse (379303601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106303973 - 24 = 106303957 is a prime.

It is a super-2 number, since 2×1063039732 = 22601069351169458, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106303979) 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, 53151986 + 53151987.

It is an arithmetic number, because the mean of its divisors is an integer number (53151987).

Almost surely, 2106303973 is an apocalyptic number.

It is an amenable number.

106303973 is a deficient number, since it is larger than the sum of its proper divisors (1).

106303973 is an equidigital number, since it uses as much as digits as its factorization.

106303973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 32.

The square root of 106303973 is about 10310.3818067034. The cubic root of 106303973 is about 473.7143040892.

The spelling of 106303973 in words is "one hundred six million, three hundred three thousand, nine hundred seventy-three".