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105205314239 is a prime number
BaseRepresentation
bin110000111111010111…
…0011011001010111111
3101001112221100200222222
41201332232123022333
53210430030023424
6120155230555555
710413041262524
oct1417656331277
9331487320888
10105205314239
11406877257a3
1218481068bbb
139bc806643c
1451404c914b
152b0b1e9e5e
hex187eb9b2bf

105205314239 has 2 divisors, whose sum is σ = 105205314240. Its totient is φ = 105205314238.

The previous prime is 105205314233. The next prime is 105205314289. The reversal of 105205314239 is 932413502501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105205314239 - 216 = 105205248703 is a prime.

It is a super-2 number, since 2×1052053142392 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105205314199 and 105205314208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105205314233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602657119 + 52602657120.

It is an arithmetic number, because the mean of its divisors is an integer number (52602657120).

Almost surely, 2105205314239 is an apocalyptic number.

105205314239 is a deficient number, since it is larger than the sum of its proper divisors (1).

105205314239 is an equidigital number, since it uses as much as digits as its factorization.

105205314239 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 105205314239 in words is "one hundred five billion, two hundred five million, three hundred fourteen thousand, two hundred thirty-nine".