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105301531 is a prime number
BaseRepresentation
bin1100100011011…
…00011000011011
321100010212112201
412101230120123
5203424122111
614240551031
72416022356
oct621543033
9240125481
10105301531
1154492665
122b322477
1318a7b8ca
14ddb129d
1593a06c1
hex646c61b

105301531 has 2 divisors, whose sum is σ = 105301532. Its totient is φ = 105301530.

The previous prime is 105301529. The next prime is 105301561. The reversal of 105301531 is 135103501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105301531 - 21 = 105301529 is a prime.

It is a super-2 number, since 2×1053015312 = 22176824861887922, which contains 22 as substring.

Together with 105301529, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105301499 and 105301508.

It is not a weakly prime, because it can be changed into another prime (105301561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52650765 + 52650766.

It is an arithmetic number, because the mean of its divisors is an integer number (52650766).

Almost surely, 2105301531 is an apocalyptic number.

105301531 is a deficient number, since it is larger than the sum of its proper divisors (1).

105301531 is an equidigital number, since it uses as much as digits as its factorization.

105301531 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105301531 is about 10261.6534242782. The cubic root of 105301531 is about 472.2205635702.

The spelling of 105301531 in words is "one hundred five million, three hundred one thousand, five hundred thirty-one".