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105947646011 is a prime number
BaseRepresentation
bin110001010101011111…
…0001100100000111011
3101010110200012001202022
41202222332030200323
53213440044133021
6120401025425055
710440324063224
oct1425276144073
9333420161668
10105947646011
1140a28758629
121864979b18b
139cb5aa77cc
1451b0d2224b
152b514801ab
hex18aaf8c83b

105947646011 has 2 divisors, whose sum is σ = 105947646012. Its totient is φ = 105947646010.

The previous prime is 105947645989. The next prime is 105947646019. The reversal of 105947646011 is 110646749501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105947646011 is a prime.

It is a super-2 number, since 2×1059476460112 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105947646019) 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, 52973823005 + 52973823006.

It is an arithmetic number, because the mean of its divisors is an integer number (52973823006).

Almost surely, 2105947646011 is an apocalyptic number.

105947646011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105947646011 is an equidigital number, since it uses as much as digits as its factorization.

105947646011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 105947646011 in words is "one hundred five billion, nine hundred forty-seven million, six hundred forty-six thousand, eleven".