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106572097 is a prime number
BaseRepresentation
bin1100101101000…
…10100101000001
321102112102102201
412112202211001
5204240301342
614324113201
72432563552
oct626424501
9242472381
10106572097
1155180215
122b835801
1319105018
1410222329
159551db7
hex65a2941

106572097 has 2 divisors, whose sum is σ = 106572098. Its totient is φ = 106572096.

The previous prime is 106572073. The next prime is 106572127. The reversal of 106572097 is 790275601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102394161 + 4177936 = 10119^2 + 2044^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106572097 is a prime.

It is a super-2 number, since 2×1065720972 = 22715223717954818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106572047) 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, 53286048 + 53286049.

It is an arithmetic number, because the mean of its divisors is an integer number (53286049).

Almost surely, 2106572097 is an apocalyptic number.

It is an amenable number.

106572097 is a deficient number, since it is larger than the sum of its proper divisors (1).

106572097 is an equidigital number, since it uses as much as digits as its factorization.

106572097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 106572097 is about 10323.3762403586. The cubic root of 106572097 is about 474.1122432354.

The spelling of 106572097 in words is "one hundred six million, five hundred seventy-two thousand, ninety-seven".