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105203130 = 2354185531
BaseRepresentation
bin1100100010101…
…00010110111010
321022221212120020
412101110112322
5203413000010
614234511310
72415132444
oct621242672
9238855506
10105203130
115442573a
122b295536
1318a45b96
14dd87494
159381470
hex64545ba

105203130 has 32 divisors (see below), whose sum is σ = 258648768. Its totient is φ = 27369600.

The previous prime is 105203129. The next prime is 105203143. The reversal of 105203130 is 31302501.

It is a happy number.

It is a super-2 number, since 2×1052031302 = 22135397123593800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 41536 + ... + 43995.

It is an arithmetic number, because the mean of its divisors is an integer number (8082774).

Almost surely, 2105203130 is an apocalyptic number.

105203130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105203130 is an abundant number, since it is smaller than the sum of its proper divisors (153445638).

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

105203130 is a wasteful number, since it uses less digits than its factorization.

105203130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85582.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 105203130 is about 10256.8577059448. The cubic root of 105203130 is about 472.0734259274.

Adding to 105203130 its reverse (31302501), we get a palindrome (136505631).

The spelling of 105203130 in words is "one hundred five million, two hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 85531 171062 256593 427655 513186 855310 1282965 2565930 3506771 7013542 10520313 17533855 21040626 35067710 52601565 105203130