Search a number
-
+
105614525557 is a prime number
BaseRepresentation
bin110001001011100011…
…1011100010001110101
3101002121110100210101201
41202113013130101311
53212244304304212
6120304005452501
710426140440452
oct1422707342165
9332543323351
10105614525557
1140877712272
1218576111131
139c61a81608
14517c9aa829
152b320ccb57
hex18971dc475

105614525557 has 2 divisors, whose sum is σ = 105614525558. Its totient is φ = 105614525556.

The previous prime is 105614525537. The next prime is 105614525563. The reversal of 105614525557 is 755525416501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57734958961 + 47879566596 = 240281^2 + 218814^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105614525557 is a prime.

It is a super-2 number, since 2×1056145255572 (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 (105614525537) 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, 52807262778 + 52807262779.

It is an arithmetic number, because the mean of its divisors is an integer number (52807262779).

Almost surely, 2105614525557 is an apocalyptic number.

It is an amenable number.

105614525557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105614525557 is an equidigital number, since it uses as much as digits as its factorization.

105614525557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050000, while the sum is 46.

The spelling of 105614525557 in words is "one hundred five billion, six hundred fourteen million, five hundred twenty-five thousand, five hundred fifty-seven".