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105603113 = 7112124679
BaseRepresentation
bin1100100101101…
…10000000101001
321100201012020102
412102312000221
5204013244423
614251235145
72421416540
oct622660051
9240635212
10105603113
1154679200
122b448ab5
1318b55c65
141004d157
15940ec28
hex64b6029

105603113 has 12 divisors (see below), whose sum is σ = 132659520. Its totient is φ = 82287480.

The previous prime is 105603109. The next prime is 105603151. The reversal of 105603113 is 311306501.

It is a happy number.

It is not a de Polignac number, because 105603113 - 22 = 105603109 is a prime.

It is a super-2 number, since 2×1056031132 = 22304034950581538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105603163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61493 + ... + 63186.

It is an arithmetic number, because the mean of its divisors is an integer number (11054960).

Almost surely, 2105603113 is an apocalyptic number.

It is an amenable number.

105603113 is a deficient number, since it is larger than the sum of its proper divisors (27056407).

105603113 is a wasteful number, since it uses less digits than its factorization.

105603113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124708 (or 124697 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105603113 is about 10276.3375285167. The cubic root of 105603113 is about 472.6709447442.

Adding to 105603113 its reverse (311306501), we get a palindrome (416909614).

The spelling of 105603113 in words is "one hundred five million, six hundred three thousand, one hundred thirteen".

Divisors: 1 7 11 77 121 847 124679 872753 1371469 9600283 15086159 105603113