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105657220181 is a prime number
BaseRepresentation
bin110001001100110101…
…0010011110001010101
3101002201102200220102002
41202121222103301111
53212341222021211
6120312132525045
710430166360542
oct1423152236125
9332642626362
10105657220181
1140899823387
1218588480785
139c6a87c7c6
145184521bc9
152b35c1303b
hex1899a93c55

105657220181 has 2 divisors, whose sum is σ = 105657220182. Its totient is φ = 105657220180.

The previous prime is 105657220177. The next prime is 105657220247. The reversal of 105657220181 is 181022756501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102432002500 + 3225217681 = 320050^2 + 56791^2 .

It is a cyclic number.

It is not a de Polignac number, because 105657220181 - 22 = 105657220177 is a prime.

It is a super-2 number, since 2×1056572201812 (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 (105657223181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52828610090 + 52828610091.

It is an arithmetic number, because the mean of its divisors is an integer number (52828610091).

Almost surely, 2105657220181 is an apocalyptic number.

It is an amenable number.

105657220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

105657220181 is an equidigital number, since it uses as much as digits as its factorization.

105657220181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 33600, while the sum is 38.

Adding to 105657220181 its reverse (181022756501), we get a palindrome (286679976682).

The spelling of 105657220181 in words is "one hundred five billion, six hundred fifty-seven million, two hundred twenty thousand, one hundred eighty-one".