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105341830 = 25114322271
BaseRepresentation
bin1100100011101…
…10001110000110
321100012220211021
412101312032012
5203431414310
614241501354
72416251016
oct621661606
9240186737
10105341830
115450a970
122b34185a
1318a94059
14ddc1c46
1593ac5da
hex6476386

105341830 has 32 divisors (see below), whose sum is σ = 211673088. Its totient is φ = 37413600.

The previous prime is 105341791. The next prime is 105341837. The reversal of 105341830 is 38143501.

It is a super-2 number, since 2×1053418302 = 22193802295497800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105341795 and 105341804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341837) 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, 6406 + ... + 15865.

It is an arithmetic number, because the mean of its divisors is an integer number (6614784).

Almost surely, 2105341830 is an apocalyptic number.

105341830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105341830 is an abundant number, since it is smaller than the sum of its proper divisors (106331258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105341830 is a wasteful number, since it uses less digits than its factorization.

105341830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22332.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105341830 is about 10263.6168089032. The cubic root of 105341830 is about 472.2807956461.

The spelling of 105341830 in words is "one hundred five million, three hundred forty-one thousand, eight hundred thirty".

Divisors: 1 2 5 10 11 22 43 55 86 110 215 430 473 946 2365 4730 22271 44542 111355 222710 244981 489962 957653 1224905 1915306 2449810 4788265 9576530 10534183 21068366 52670915 105341830