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105648977274823 is a prime number
BaseRepresentation
bin11000000001011001010001…
…110000101110011111000111
3111212001221110212200001121201
4120001121101300232133013
5102321423101140243243
61012410245314323331
731152613100545213
oct3001312160563707
9455057425601551
10105648977274823
1130732530454764
12ba23590889547
1346c486aa715a8
141c1361b3c7943
15c3328ba3404d
hex601651c2e7c7

105648977274823 has 2 divisors, whose sum is σ = 105648977274824. Its totient is φ = 105648977274822.

The previous prime is 105648977274821. The next prime is 105648977274859. The reversal of 105648977274823 is 328472779846501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105648977274823 - 21 = 105648977274821 is a prime.

It is a super-2 number, since 2×1056489772748232 (a number of 29 digits) contains 22 as substring.

Together with 105648977274821, 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 (105648977274821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52824488637411 + 52824488637412.

It is an arithmetic number, because the mean of its divisors is an integer number (52824488637412).

It is a 1-persistent number, because it is pandigital, but 2⋅105648977274823 = 211297954549646 is not.

Almost surely, 2105648977274823 is an apocalyptic number.

105648977274823 is a deficient number, since it is larger than the sum of its proper divisors (1).

105648977274823 is an equidigital number, since it uses as much as digits as its factorization.

105648977274823 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1137991680, while the sum is 73.

The spelling of 105648977274823 in words is "one hundred five trillion, six hundred forty-eight billion, nine hundred seventy-seven million, two hundred seventy-four thousand, eight hundred twenty-three".