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105269537369 is a prime number
BaseRepresentation
bin110001000001010001…
…1011010101001011001
3101001201102012120120102
41202002203122221121
53211043000143434
6120205443305145
710414451206133
oct1420243325131
9331642176512
10105269537369
114070aa00567
121849a67b1b5
139c084616a9
145148c46053
152b11b8407e
hex18828daa59

105269537369 has 2 divisors, whose sum is σ = 105269537370. Its totient is φ = 105269537368.

The previous prime is 105269537333. The next prime is 105269537383. The reversal of 105269537369 is 963735962501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85446305344 + 19823232025 = 292312^2 + 140795^2 .

It is a cyclic number.

It is not a de Polignac number, because 105269537369 - 224 = 105252760153 is a prime.

It is a super-2 number, since 2×1052695373692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105269537309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634768684 + 52634768685.

It is an arithmetic number, because the mean of its divisors is an integer number (52634768685).

Almost surely, 2105269537369 is an apocalyptic number.

It is an amenable number.

105269537369 is a deficient number, since it is larger than the sum of its proper divisors (1).

105269537369 is an equidigital number, since it uses as much as digits as its factorization.

105269537369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9185400, while the sum is 56.

The spelling of 105269537369 in words is "one hundred five billion, two hundred sixty-nine million, five hundred thirty-seven thousand, three hundred sixty-nine".