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105754114033 is a prime number
BaseRepresentation
bin110001001111101101…
…1111011011111110001
3101002222012000121210021
41202133123323133301
53213041023122113
6120325513403441
710432454065111
oct1423733733761
9332865017707
10105754114033
1140939493147
12185b4a09581
139c84976549
145193345041
152b3e4a248d
hex189f6fb7f1

105754114033 has 2 divisors, whose sum is σ = 105754114034. Its totient is φ = 105754114032.

The previous prime is 105754114027. The next prime is 105754114093. The reversal of 105754114033 is 330411457501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88511010064 + 17243103969 = 297508^2 + 131313^2 .

It is a cyclic number.

It is not a de Polignac number, because 105754114033 - 25 = 105754114001 is a prime.

It is a super-2 number, since 2×1057541140332 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105754114033.

It is not a weakly prime, because it can be changed into another prime (105754114093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52877057016 + 52877057017.

It is an arithmetic number, because the mean of its divisors is an integer number (52877057017).

Almost surely, 2105754114033 is an apocalyptic number.

It is an amenable number.

105754114033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105754114033 is an equidigital number, since it uses as much as digits as its factorization.

105754114033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 105754114033 in words is "one hundred five billion, seven hundred fifty-four million, one hundred fourteen thousand, thirty-three".