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106757363309 is a prime number
BaseRepresentation
bin110001101101100111…
…1000001011001101101
3101012120002210222001212
41203123033001121231
53222114341111214
6121013232444205
710466355421112
oct1433317013155
9335502728055
10106757363309
1141303826183
12188349a9665
13a0b478067c
14524a69a909
152b9c5c653e
hex18db3c166d

106757363309 has 2 divisors, whose sum is σ = 106757363310. Its totient is φ = 106757363308.

The previous prime is 106757363263. The next prime is 106757363327. The reversal of 106757363309 is 903363757601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64905205225 + 41852158084 = 254765^2 + 204578^2 .

It is a cyclic number.

It is not a de Polignac number, because 106757363309 - 224 = 106740586093 is a prime.

It is a super-2 number, since 2×1067573633092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106757363359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53378681654 + 53378681655.

It is an arithmetic number, because the mean of its divisors is an integer number (53378681655).

Almost surely, 2106757363309 is an apocalyptic number.

It is an amenable number.

106757363309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106757363309 is an equidigital number, since it uses as much as digits as its factorization.

106757363309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2143260, while the sum is 50.

The spelling of 106757363309 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-three thousand, three hundred nine".