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105342023 = 196783997
BaseRepresentation
bin1100100011101…
…10010001000111
321100012221002102
412101312101013
5203431421043
614241502315
72416251413
oct621662107
9240187072
10105342023
1154510026
122b34199b
1318a94177
14ddc1d43
1593ac6b8
hex6476447

105342023 has 16 divisors (see below), whose sum is σ = 114011520. Its totient is φ = 97026336.

The previous prime is 105342011. The next prime is 105342031. The reversal of 105342023 is 320243501.

It is a happy number.

It is not a de Polignac number, because 105342023 - 28 = 105341767 is a prime.

It is a super-2 number, since 2×1053420232 = 22193883619465058, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105341986 and 105342004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342053) 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 in 15 ways as a sum of consecutive naturals, for example, 105161 + ... + 106157.

It is an arithmetic number, because the mean of its divisors is an integer number (7125720).

Almost surely, 2105342023 is an apocalyptic number.

105342023 is a deficient number, since it is larger than the sum of its proper divisors (8669497).

105342023 is an equidigital number, since it uses as much as digits as its factorization.

105342023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 105342023 is about 10263.6262110426. The cubic root of 105342023 is about 472.2810840726.

Adding to 105342023 its reverse (320243501), we get a palindrome (425585524).

The spelling of 105342023 in words is "one hundred five million, three hundred forty-two thousand, twenty-three".

Divisors: 1 19 67 83 997 1273 1577 5561 18943 66799 82751 105659 1269181 1572269 5544317 105342023