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105040342 = 21124211031
BaseRepresentation
bin1100100001011…
…00100111010110
321022122121021001
412100230213112
5203342242332
614231213514
72413554031
oct620544726
9238577231
10105040342
1154324400
122b21729a
13189b9a64
14dd44018
15934d0e7
hex642c9d6

105040342 has 24 divisors (see below), whose sum is σ = 173766096. Its totient is φ = 47586000.

The previous prime is 105040337. The next prime is 105040343. The reversal of 105040342 is 243040501.

It is a super-2 number, since 2×1050403422 = 22066946894953928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105040343) 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 11 ways as a sum of consecutive naturals, for example, 101367 + ... + 102397.

It is an arithmetic number, because the mean of its divisors is an integer number (7240254).

Almost surely, 2105040342 is an apocalyptic number.

105040342 is a deficient number, since it is larger than the sum of its proper divisors (68725754).

105040342 is a wasteful number, since it uses less digits than its factorization.

105040342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 105040342 is about 10248.9190649551. The cubic root of 105040342 is about 471.8298097273.

Adding to 105040342 its reverse (243040501), we get a palindrome (348080843).

The spelling of 105040342 in words is "one hundred five million, forty thousand, three hundred forty-two".

Divisors: 1 2 11 22 121 242 421 842 1031 2062 4631 9262 11341 22682 50941 101882 124751 249502 434051 868102 4774561 9549122 52520171 105040342