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105615590053 is a prime number
BaseRepresentation
bin110001001011100101…
…1100000001010100101
3101002121112100212121111
41202113023200022211
53212300042340203
6120304044345021
710426152463111
oct1422713401245
9332545325544
10105615590053
114087827a016
1218576545171
139c62064cac
14517cba6741
152b3223d26d
hex18972e02a5

105615590053 has 2 divisors, whose sum is σ = 105615590054. Its totient is φ = 105615590052.

The previous prime is 105615590033. The next prime is 105615590057. The reversal of 105615590053 is 350095516501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87691200129 + 17924389924 = 296127^2 + 133882^2 .

It is an emirp because it is prime and its reverse (350095516501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105615590053 - 217 = 105615458981 is a prime.

It is a super-2 number, since 2×1056155900532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105615589988 and 105615590015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105615590057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52807795026 + 52807795027.

It is an arithmetic number, because the mean of its divisors is an integer number (52807795027).

Almost surely, 2105615590053 is an apocalyptic number.

It is an amenable number.

105615590053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105615590053 is an equidigital number, since it uses as much as digits as its factorization.

105615590053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 101250, while the sum is 40.

The spelling of 105615590053 in words is "one hundred five billion, six hundred fifteen million, five hundred ninety thousand, fifty-three".