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105755693269 is a prime number
BaseRepresentation
bin110001001111110000…
…1111101000011010101
3101002222021222212002111
41202133201331003111
53213041424141034
6120330011311021
710432503363232
oct1423741750325
9332867885074
10105755693269
114093a3716a6
12185b544b471
139c850aa2c5
145193636789
152b3e6b5364
hex189f87d0d5

105755693269 has 2 divisors, whose sum is σ = 105755693270. Its totient is φ = 105755693268.

The previous prime is 105755693233. The next prime is 105755693317. The reversal of 105755693269 is 962396557501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100609496100 + 5146197169 = 317190^2 + 71737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105755693269 is a prime.

It is a super-2 number, since 2×1057556932692 (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 (105755694269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52877846634 + 52877846635.

It is an arithmetic number, because the mean of its divisors is an integer number (52877846635).

Almost surely, 2105755693269 is an apocalyptic number.

It is an amenable number.

105755693269 is a deficient number, since it is larger than the sum of its proper divisors (1).

105755693269 is an equidigital number, since it uses as much as digits as its factorization.

105755693269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309000, while the sum is 58.

The spelling of 105755693269 in words is "one hundred five billion, seven hundred fifty-five million, six hundred ninety-three thousand, two hundred sixty-nine".