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105430130 = 25131137177
BaseRepresentation
bin1100100100010…
…11110001110010
321100101101221122
412102023301302
5203442231010
614243422242
72420066321
oct622136162
9240341848
10105430130
1154570243
122b384982
1318ac52c0
14100060b8
1593c8855
hex648bc72

105430130 has 32 divisors (see below), whose sum is σ = 206209584. Its totient is φ = 38578176.

The previous prime is 105430123. The next prime is 105430133. The reversal of 105430130 is 31034501.

105430130 = 1182 + 1192 + ... + 6822.

It can be written as a sum of positive squares in 8 ways, for example, as 20403289 + 85026841 = 4517^2 + 9221^2 .

It is a super-2 number, since 2×1054301302 = 22231024623633800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105430099 and 105430108.

It is not an unprimeable number, because it can be changed into a prime (105430133) 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, 11102 + ... + 18278.

Almost surely, 2105430130 is an apocalyptic number.

105430130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105430130 is a deficient number, since it is larger than the sum of its proper divisors (100779454).

105430130 is a wasteful number, since it uses less digits than its factorization.

105430130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105430130 is about 10267.9175103815. The cubic root of 105430130 is about 472.4127177505.

Adding to 105430130 its reverse (31034501), we get a palindrome (136464631).

The spelling of 105430130 in words is "one hundred five million, four hundred thirty thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 113 130 226 565 1130 1469 2938 7177 7345 14354 14690 35885 71770 93301 186602 466505 811001 933010 1622002 4055005 8110010 10543013 21086026 52715065 105430130