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105236 = 2226309
BaseRepresentation
bin11001101100010100
312100100122
4121230110
511331421
62131112
7615545
oct315424
9170318
10105236
117207a
1250a98
1338b91
142a4cc
15212ab
hex19b14

105236 has 6 divisors (see below), whose sum is σ = 184170. Its totient is φ = 52616.

The previous prime is 105229. The next prime is 105239. The reversal of 105236 is 632501.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 37636 = 260^2 + 194^2 .

It is a super-2 number, since 2×1052362 = 22149231392, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13151 + ... + 13158.

It is an arithmetic number, because the mean of its divisors is an integer number (30695).

2105236 is an apocalyptic number.

It is an amenable number.

105236 is a deficient number, since it is larger than the sum of its proper divisors (78934).

105236 is a wasteful number, since it uses less digits than its factorization.

105236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26313 (or 26311 counting only the distinct ones).

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

The square root of 105236 is about 324.4009864350. The cubic root of 105236 is about 47.2122586181.

Adding to 105236 its reverse (632501), we get a palindrome (737737).

The spelling of 105236 in words is "one hundred five thousand, two hundred thirty-six".

Divisors: 1 2 4 26309 52618 105236