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105239188781 is a prime number
BaseRepresentation
bin110001000000010111…
…1101001010100101101
3101001122022002201010122
41202000233221110231
53211012213020111
6120202441014325
710413632226236
oct1420057512455
9331568081118
10105239188781
11406a4862191
12184904843a5
139c02096b4c
145144bc608d
152b0e18bcdb
hex1880be952d

105239188781 has 2 divisors, whose sum is σ = 105239188782. Its totient is φ = 105239188780.

The previous prime is 105239188751. The next prime is 105239188807. The reversal of 105239188781 is 187881932501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100003942756 + 5235246025 = 316234^2 + 72355^2 .

It is an emirp because it is prime and its reverse (187881932501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105239188781 - 214 = 105239172397 is a prime.

It is a super-2 number, since 2×1052391887812 (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 (105239188751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52619594390 + 52619594391.

It is an arithmetic number, because the mean of its divisors is an integer number (52619594391).

Almost surely, 2105239188781 is an apocalyptic number.

It is an amenable number.

105239188781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105239188781 is an equidigital number, since it uses as much as digits as its factorization.

105239188781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 53.

The spelling of 105239188781 in words is "one hundred five billion, two hundred thirty-nine million, one hundred eighty-eight thousand, seven hundred eighty-one".