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106303961 is a prime number
BaseRepresentation
bin1100101011000…
…01000111011001
321102000210121202
412111201013121
5204203211321
614314243545
72430366041
oct625410731
9242023552
10106303961
1155007815
122b7265b5
131903cc6a
1410192721
1594ec70b
hex65611d9

106303961 has 2 divisors, whose sum is σ = 106303962. Its totient is φ = 106303960.

The previous prime is 106303957. The next prime is 106303963. The reversal of 106303961 is 169303601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101707225 + 4596736 = 10085^2 + 2144^2 .

It is a cyclic number.

It is not a de Polignac number, because 106303961 - 22 = 106303957 is a prime.

It is a super-2 number, since 2×1063039612 = 22601064248579042, which contains 22 as substring.

Together with 106303963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106303963) 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, 53151980 + 53151981.

It is an arithmetic number, because the mean of its divisors is an integer number (53151981).

Almost surely, 2106303961 is an apocalyptic number.

It is an amenable number.

106303961 is a deficient number, since it is larger than the sum of its proper divisors (1).

106303961 is an equidigital number, since it uses as much as digits as its factorization.

106303961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 106303961 is about 10310.3812247656. The cubic root of 106303961 is about 473.7142862643.

The spelling of 106303961 in words is "one hundred six million, three hundred three thousand, nine hundred sixty-one".