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106457909 is a prime number
BaseRepresentation
bin1100101100001…
…10101100110101
321102022121210112
412112012230311
5204223123114
614321432405
72431606625
oct626065465
9242277715
10106457909
1155102448
122b79b705
131909505c
14101d2885
15952d13e
hex6586b35

106457909 has 2 divisors, whose sum is σ = 106457910. Its totient is φ = 106457908.

The previous prime is 106457891. The next prime is 106457941. The reversal of 106457909 is 909754601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74218225 + 32239684 = 8615^2 + 5678^2 .

It is a cyclic number.

It is not a de Polignac number, because 106457909 - 216 = 106392373 is a prime.

It is a super-2 number, since 2×1064579092 = 22666572777304562, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106457959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53228954 + 53228955.

It is an arithmetic number, because the mean of its divisors is an integer number (53228955).

Almost surely, 2106457909 is an apocalyptic number.

It is an amenable number.

106457909 is a deficient number, since it is larger than the sum of its proper divisors (1).

106457909 is an equidigital number, since it uses as much as digits as its factorization.

106457909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 106457909 is about 10317.8442031269. The cubic root of 106457909 is about 473.9428515670.

The spelling of 106457909 in words is "one hundred six million, four hundred fifty-seven thousand, nine hundred nine".