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105114102389 is a prime number
BaseRepresentation
bin110000111100101001…
…0011110101001110101
3101001022120201122212022
41201321102132221311
53210233202234024
6120142212002525
710410553062002
oct1417122365165
9331276648768
10105114102389
11406401969aa
1218456600445
139bb21aba2a
1451323448a9
152b031ce35e
hex187949ea75

105114102389 has 2 divisors, whose sum is σ = 105114102390. Its totient is φ = 105114102388.

The previous prime is 105114102343. The next prime is 105114102397. The reversal of 105114102389 is 983201411501.

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., 83041948900 + 22072153489 = 288170^2 + 148567^2 .

It is a cyclic number.

It is not a de Polignac number, because 105114102389 - 212 = 105114098293 is a prime.

It is a super-2 number, since 2×1051141023892 (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 (105114102689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52557051194 + 52557051195.

It is an arithmetic number, because the mean of its divisors is an integer number (52557051195).

Almost surely, 2105114102389 is an apocalyptic number.

It is an amenable number.

105114102389 is a deficient number, since it is larger than the sum of its proper divisors (1).

105114102389 is an equidigital number, since it uses as much as digits as its factorization.

105114102389 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 35.

The spelling of 105114102389 in words is "one hundred five billion, one hundred fourteen million, one hundred two thousand, three hundred eighty-nine".