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105711856457 is a prime number
BaseRepresentation
bin110001001110011101…
…0101110101101001001
3101002212020111201021212
41202130322232231021
53212444213401312
6120321403542505
710431431645144
oct1423472565511
9332766451255
10105711856457
1140917650429
12185a282aa35
139c78c9c26c
14518b8a505b
152b3a906822
hex189ceaeb49

105711856457 has 2 divisors, whose sum is σ = 105711856458. Its totient is φ = 105711856456.

The previous prime is 105711856403. The next prime is 105711856463. The reversal of 105711856457 is 754658117501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72850868281 + 32860988176 = 269909^2 + 181276^2 .

It is a cyclic number.

It is not a de Polignac number, because 105711856457 - 224 = 105695079241 is a prime.

It is a super-2 number, since 2×1057118564572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105711856057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52855928228 + 52855928229.

It is an arithmetic number, because the mean of its divisors is an integer number (52855928229).

Almost surely, 2105711856457 is an apocalyptic number.

It is an amenable number.

105711856457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105711856457 is an equidigital number, since it uses as much as digits as its factorization.

105711856457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176000, while the sum is 50.

The spelling of 105711856457 in words is "one hundred five billion, seven hundred eleven million, eight hundred fifty-six thousand, four hundred fifty-seven".