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105354442769 is a prime number
BaseRepresentation
bin110001000011110011…
…1010011100000010001
3101001221022222012212212
41202013213103200101
53211231214132034
6120222115201505
710416531662552
oct1420747234021
9331838865785
10105354442769
1140753922214
1218502ba6295
139c1cc1b784
145156228329
152b193562ce
hex18879d3811

105354442769 has 2 divisors, whose sum is σ = 105354442770. Its totient is φ = 105354442768.

The previous prime is 105354442759. The next prime is 105354442807. The reversal of 105354442769 is 967244453501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86609547025 + 18744895744 = 294295^2 + 136912^2 .

It is an emirp because it is prime and its reverse (967244453501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105354442769 - 224 = 105337665553 is a prime.

It is a super-2 number, since 2×1053544427692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105354442759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677221384 + 52677221385.

It is an arithmetic number, because the mean of its divisors is an integer number (52677221385).

Almost surely, 2105354442769 is an apocalyptic number.

It is an amenable number.

105354442769 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354442769 is an equidigital number, since it uses as much as digits as its factorization.

105354442769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 105354442769 in words is "one hundred five billion, three hundred fifty-four million, four hundred forty-two thousand, seven hundred sixty-nine".