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106294851073 is a prime number
BaseRepresentation
bin110001011111110101…
…0101011011000000001
3101011100212111220120001
41202333222223120001
53220142440213243
6120455311320001
710452041216665
oct1427752533001
9334325456501
10106294851073
1141096743964
1218725b20001
13a03c9c27a8
1452050a28a5
152b71bb5a4d
hex18bfaab601

106294851073 has 2 divisors, whose sum is σ = 106294851074. Its totient is φ = 106294851072.

The previous prime is 106294850897. The next prime is 106294851121. The reversal of 106294851073 is 370158492601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76534115904 + 29760735169 = 276648^2 + 172513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106294851073 is a prime.

It is a super-2 number, since 2×1062948510732 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106294852073) 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, 53147425536 + 53147425537.

It is an arithmetic number, because the mean of its divisors is an integer number (53147425537).

It is a 1-persistent number, because it is pandigital, but 2⋅106294851073 = 212589702146 is not.

Almost surely, 2106294851073 is an apocalyptic number.

It is an amenable number.

106294851073 is a deficient number, since it is larger than the sum of its proper divisors (1).

106294851073 is an equidigital number, since it uses as much as digits as its factorization.

106294851073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 106294851073 in words is "one hundred six billion, two hundred ninety-four million, eight hundred fifty-one thousand, seventy-three".