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105106100941 is a prime number
BaseRepresentation
bin110000111100011001…
…1111101001011001101
3101001022000200010221101
41201320303331023031
53210224130212231
6120141324303101
710410425055112
oct1417063751315
9331260603841
10105106100941
1140636721336
12184539a1a91
139bb0639a4a
145131260909
152b0264d661
hex1878cfd2cd

105106100941 has 2 divisors, whose sum is σ = 105106100942. Its totient is φ = 105106100940.

The previous prime is 105106100933. The next prime is 105106100989. The reversal of 105106100941 is 149001601501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76956308100 + 28149792841 = 277410^2 + 167779^2 .

It is an emirp because it is prime and its reverse (149001601501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105106100941 - 23 = 105106100933 is a prime.

It is a super-2 number, since 2×1051061009412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105106100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553050470 + 52553050471.

It is an arithmetic number, because the mean of its divisors is an integer number (52553050471).

Almost surely, 2105106100941 is an apocalyptic number.

It is an amenable number.

105106100941 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106100941 is an equidigital number, since it uses as much as digits as its factorization.

105106100941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 105106100941 in words is "one hundred five billion, one hundred six million, one hundred thousand, nine hundred forty-one".