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106072817 is a prime number
BaseRepresentation
bin1100101001010…
…00101011110001
321101121001112212
412110220223301
5204123312232
614305301505
72425414124
oct624505361
9241531485
10106072817
115496a094
122b634895
1318c8b9a6
14101323bb
1594a3eb2
hex6528af1

106072817 has 2 divisors, whose sum is σ = 106072818. Its totient is φ = 106072816.

The previous prime is 106072777. The next prime is 106072823. The reversal of 106072817 is 718270601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79405921 + 26666896 = 8911^2 + 5164^2 .

It is a cyclic number.

It is not a de Polignac number, because 106072817 - 26 = 106072753 is a prime.

It is a super-2 number, since 2×1060728172 = 22502885012630978, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106072847) 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, 53036408 + 53036409.

It is an arithmetic number, because the mean of its divisors is an integer number (53036409).

Almost surely, 2106072817 is an apocalyptic number.

It is an amenable number.

106072817 is a deficient number, since it is larger than the sum of its proper divisors (1).

106072817 is an equidigital number, since it uses as much as digits as its factorization.

106072817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 106072817 is about 10299.1658400086. The cubic root of 106072817 is about 473.3706939476.

The spelling of 106072817 in words is "one hundred six million, seventy-two thousand, eight hundred seventeen".