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105441504029 is a prime number
BaseRepresentation
bin110001000110011001…
…1011010101100011101
3101002011101210101110222
41202030303122230131
53211421011112104
6120234505211125
710421636665511
oct1421463325435
9332141711428
10105441504029
1140798a86674
1218528190aa5
139c34c81c04
145163a0c141
152b21d021be
hex188ccdab1d

105441504029 has 2 divisors, whose sum is σ = 105441504030. Its totient is φ = 105441504028.

The previous prime is 105441504013. The next prime is 105441504107. The reversal of 105441504029 is 920405144501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88801020025 + 16640484004 = 297995^2 + 128998^2 .

It is a cyclic number.

It is not a de Polignac number, because 105441504029 - 24 = 105441504013 is a prime.

It is a super-2 number, since 2×1054415040292 (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 105441504029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105441504229) 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, 52720752014 + 52720752015.

It is an arithmetic number, because the mean of its divisors is an integer number (52720752015).

Almost surely, 2105441504029 is an apocalyptic number.

It is an amenable number.

105441504029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105441504029 is an equidigital number, since it uses as much as digits as its factorization.

105441504029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 105441504029 in words is "one hundred five billion, four hundred forty-one million, five hundred four thousand, twenty-nine".