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105639295253 is a prime number
BaseRepresentation
bin110001001100010010…
…1111011100100010101
3101002200011222020000212
41202120211323210111
53212322124422003
6120310252415205
710426561123352
oct1423045734425
9332604866025
10105639295253
114088a6a0098
1218582477505
139c66c44a3b
145181db7629
152b34371dd8
hex189897b915

105639295253 has 2 divisors, whose sum is σ = 105639295254. Its totient is φ = 105639295252.

The previous prime is 105639295249. The next prime is 105639295277. The reversal of 105639295253 is 352592936501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69536635204 + 36102660049 = 263698^2 + 190007^2 .

It is a cyclic number.

It is not a de Polignac number, because 105639295253 - 22 = 105639295249 is a prime.

It is a super-2 number, since 2×1056392952532 (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 (105639295453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52819647626 + 52819647627.

It is an arithmetic number, because the mean of its divisors is an integer number (52819647627).

Almost surely, 2105639295253 is an apocalyptic number.

It is an amenable number.

105639295253 is a deficient number, since it is larger than the sum of its proper divisors (1).

105639295253 is an equidigital number, since it uses as much as digits as its factorization.

105639295253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187000, while the sum is 50.

The spelling of 105639295253 in words is "one hundred five billion, six hundred thirty-nine million, two hundred ninety-five thousand, two hundred fifty-three".