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106008900497 is a prime number
BaseRepresentation
bin110001010111010011…
…1110111001110010001
3101010121221110010002222
41202232213313032101
53214101234303442
6120411054350425
710441666533563
oct1425647671621
9333557403088
10106008900497
1140a5a295a75
12186661bb415
139cc56a3776
1451b9109333
152b56a2e8d2
hex18ae9f7391

106008900497 has 2 divisors, whose sum is σ = 106008900498. Its totient is φ = 106008900496.

The previous prime is 106008900463. The next prime is 106008900521. The reversal of 106008900497 is 794009800601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60339500881 + 45669399616 = 245641^2 + 213704^2 .

It is an emirp because it is prime and its reverse (794009800601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106008900497 - 212 = 106008896401 is a prime.

It is a super-2 number, since 2×1060089004972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106008900457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53004450248 + 53004450249.

It is an arithmetic number, because the mean of its divisors is an integer number (53004450249).

Almost surely, 2106008900497 is an apocalyptic number.

It is an amenable number.

106008900497 is a deficient number, since it is larger than the sum of its proper divisors (1).

106008900497 is an equidigital number, since it uses as much as digits as its factorization.

106008900497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 106008900497 in words is "one hundred six billion, eight million, nine hundred thousand, four hundred ninety-seven".