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106257533 is a prime number
BaseRepresentation
bin1100101010101…
…01110001111101
321101221102221012
412111111301331
5204200220113
614313245005
72430113504
oct625256175
9241842835
10106257533
1154a85948
122b703765
1319024aa5
141017d83b
1594ddaa8
hex6555c7d

106257533 has 2 divisors, whose sum is σ = 106257534. Its totient is φ = 106257532.

The previous prime is 106257521. The next prime is 106257563. The reversal of 106257533 is 335752601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65642404 + 40615129 = 8102^2 + 6373^2 .

It is a cyclic number.

It is not a de Polignac number, because 106257533 - 210 = 106256509 is a prime.

It is a super-2 number, since 2×1062575332 = 22581326638492178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106257533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106257563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53128766 + 53128767.

It is an arithmetic number, because the mean of its divisors is an integer number (53128767).

Almost surely, 2106257533 is an apocalyptic number.

It is an amenable number.

106257533 is a deficient number, since it is larger than the sum of its proper divisors (1).

106257533 is an equidigital number, since it uses as much as digits as its factorization.

106257533 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 106257533 is about 10308.1294617404. The cubic root of 106257533 is about 473.6453116957.

The spelling of 106257533 in words is "one hundred six million, two hundred fifty-seven thousand, five hundred thirty-three".