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105730 = 2597109
BaseRepresentation
bin11001110100000010
312101000221
4121310002
511340410
62133254
7620152
oct316402
9171027
10105730
1172489
125122a
1339181
142a762
15214da
hex19d02

105730 has 16 divisors (see below), whose sum is σ = 194040. Its totient is φ = 41472.

The previous prime is 105727. The next prime is 105733. The reversal of 105730 is 37501.

It is an interprime number because it is at equal distance from previous prime (105727) and next prime (105733).

It can be written as a sum of positive squares in 4 ways, for example, as 90601 + 15129 = 301^2 + 123^2 .

It is a super-2 number, since 2×1057302 = 22357665800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 916 + ... + 1024.

2105730 is an apocalyptic number.

105730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105730 is a deficient number, since it is larger than the sum of its proper divisors (88310).

105730 is a wasteful number, since it uses less digits than its factorization.

105730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 105730 is about 325.1614983358. The cubic root of 105730 is about 47.2860180936.

Subtracting from 105730 its product of nonzero digits (105), we obtain a square (105625 = 3252).

The spelling of 105730 in words is "one hundred five thousand, seven hundred thirty".

Divisors: 1 2 5 10 97 109 194 218 485 545 970 1090 10573 21146 52865 105730