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105047375467 is a prime number
BaseRepresentation
bin110000111010101001…
…1111011111001101011
3101001010221011120201211
41201311103323321223
53210114112003332
6120131425453551
710406112646606
oct1416523737153
9331127146654
10105047375467
1140606560a91
12184381a12b7
139ba1417c48
14512753533d
152aec3ed447
hex18754fbe6b

105047375467 has 2 divisors, whose sum is σ = 105047375468. Its totient is φ = 105047375466.

The previous prime is 105047375413. The next prime is 105047375491. The reversal of 105047375467 is 764573740501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105047375467 - 235 = 70687637099 is a prime.

It is a super-2 number, since 2×1050473754672 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105047375467.

It is not a weakly prime, because it can be changed into another prime (105047375767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52523687733 + 52523687734.

It is an arithmetic number, because the mean of its divisors is an integer number (52523687734).

Almost surely, 2105047375467 is an apocalyptic number.

105047375467 is a deficient number, since it is larger than the sum of its proper divisors (1).

105047375467 is an equidigital number, since it uses as much as digits as its factorization.

105047375467 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2469600, while the sum is 49.

The spelling of 105047375467 in words is "one hundred five billion, forty-seven million, three hundred seventy-five thousand, four hundred sixty-seven".