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106051350329 is a prime number
BaseRepresentation
bin110001011000100100…
…1110010111100111001
3101010201220022210022222
41202301021302330321
53214143121202304
6120415212253425
710443023414201
oct1426111627471
9333656283288
10106051350329
1140a8124a181
1218678471275
13a001417402
1451c09d9401
152b5a6174be
hex18b1272f39

106051350329 has 2 divisors, whose sum is σ = 106051350330. Its totient is φ = 106051350328.

The previous prime is 106051350263. The next prime is 106051350343. The reversal of 106051350329 is 923053150601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74899100329 + 31152250000 = 273677^2 + 176500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106051350329 is a prime.

It is a super-2 number, since 2×1060513503292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106051350029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53025675164 + 53025675165.

It is an arithmetic number, because the mean of its divisors is an integer number (53025675165).

Almost surely, 2106051350329 is an apocalyptic number.

It is an amenable number.

106051350329 is a deficient number, since it is larger than the sum of its proper divisors (1).

106051350329 is an equidigital number, since it uses as much as digits as its factorization.

106051350329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 106051350329 in words is "one hundred six billion, fifty-one million, three hundred fifty thousand, three hundred twenty-nine".