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105340191 = 31116131979
BaseRepresentation
bin1100100011101…
…01110100011111
321100012211120120
412101311310133
5203431341231
614241450023
72416243155
oct621656437
9240184516
10105340191
1154509710
122b340913
1318a93398
14ddc13d5
1593abd96
hex6475d1f

105340191 has 16 divisors (see below), whose sum is σ = 153394560. Its totient is φ = 63770720.

The previous prime is 105340181. The next prime is 105340223. The reversal of 105340191 is 191043501.

It is a cyclic number.

It is not a de Polignac number, because 105340191 - 25 = 105340159 is a prime.

It is a super-2 number, since 2×1053401912 = 22193111679832962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105340141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52240 + ... + 54218.

It is an arithmetic number, because the mean of its divisors is an integer number (9587160).

Almost surely, 2105340191 is an apocalyptic number.

105340191 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105340191 is a deficient number, since it is larger than the sum of its proper divisors (48054369).

105340191 is a wasteful number, since it uses less digits than its factorization.

105340191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105340191 is about 10263.5369634449. The cubic root of 105340191 is about 472.2783462480.

Adding to 105340191 its reverse (191043501), we get a palindrome (296383692).

The spelling of 105340191 in words is "one hundred five million, three hundred forty thousand, one hundred ninety-one".

Divisors: 1 3 11 33 1613 1979 4839 5937 17743 21769 53229 65307 3192127 9576381 35113397 105340191