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105032623 is a prime number
BaseRepresentation
bin1100100001010…
…10101110101111
321022122012200011
412100222232233
5203342020443
614231114051
72413522363
oct620525657
9238565604
10105032623
1154319623
122b212927
13189b63a7
14dd412a3
15934ab9d
hex642abaf

105032623 has 2 divisors, whose sum is σ = 105032624. Its totient is φ = 105032622.

The previous prime is 105032621. The next prime is 105032657. The reversal of 105032623 is 326230501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105032623 - 21 = 105032621 is a prime.

It is a super-2 number, since 2×1050326232 = 22063703788520258, which contains 22 as substring.

Together with 105032621, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 105032594 and 105032603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105032621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52516311 + 52516312.

It is an arithmetic number, because the mean of its divisors is an integer number (52516312).

Almost surely, 2105032623 is an apocalyptic number.

105032623 is a deficient number, since it is larger than the sum of its proper divisors (1).

105032623 is an equidigital number, since it uses as much as digits as its factorization.

105032623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105032623 is about 10248.5424817386. The cubic root of 105032623 is about 471.8182518076.

The spelling of 105032623 in words is "one hundred five million, thirty-two thousand, six hundred twenty-three".