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105377269 is a prime number
BaseRepresentation
bin1100100011111…
…10110111110101
321100021201102211
412101332313311
5203434033034
614242333421
72416456234
oct621766765
9240251384
10105377269
1154534558
122b35a271
1318aa721a
14ddd0b1b
1593b7d64
hex647edf5

105377269 has 2 divisors, whose sum is σ = 105377270. Its totient is φ = 105377268.

The previous prime is 105377267. The next prime is 105377309. The reversal of 105377269 is 962773501.

It is an a-pointer prime, because the next prime (105377309) can be obtained adding 105377269 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95296644 + 10080625 = 9762^2 + 3175^2 .

It is a cyclic number.

It is not a de Polignac number, because 105377269 - 21 = 105377267 is a prime.

It is a super-2 number, since 2×1053772692 = 22208737643796722, which contains 22 as substring.

Together with 105377267, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105377267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52688634 + 52688635.

It is an arithmetic number, because the mean of its divisors is an integer number (52688635).

Almost surely, 2105377269 is an apocalyptic number.

It is an amenable number.

105377269 is a deficient number, since it is larger than the sum of its proper divisors (1).

105377269 is an equidigital number, since it uses as much as digits as its factorization.

105377269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 105377269 is about 10265.3431019134. The cubic root of 105377269 is about 472.3337511294. Note that the first 3 decimals are identical.

The spelling of 105377269 in words is "one hundred five million, three hundred seventy-seven thousand, two hundred sixty-nine".