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105748030657 is a prime number
BaseRepresentation
bin110001001111100010…
…0101110010011000001
3101002221202120112222001
41202133010232103001
53213032443440112
6120325135144001
710432351300243
oct1423704562301
9332852515861
10105748030657
1140936008665
12185b2975001
139c83626609
145192600093
152b3db9ec57
hex189f12e4c1

105748030657 has 2 divisors, whose sum is σ = 105748030658. Its totient is φ = 105748030656.

The previous prime is 105748030621. The next prime is 105748030727. The reversal of 105748030657 is 756030847501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99452560321 + 6295470336 = 315361^2 + 79344^2 .

It is a cyclic number.

It is not a de Polignac number, because 105748030657 - 27 = 105748030529 is a prime.

It is a super-2 number, since 2×1057480306572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105748030357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52874015328 + 52874015329.

It is an arithmetic number, because the mean of its divisors is an integer number (52874015329).

Almost surely, 2105748030657 is an apocalyptic number.

It is an amenable number.

105748030657 is a deficient number, since it is larger than the sum of its proper divisors (1).

105748030657 is an equidigital number, since it uses as much as digits as its factorization.

105748030657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 105748030657 in words is "one hundred five billion, seven hundred forty-eight million, thirty thousand, six hundred fifty-seven".