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105270 = 23511229
BaseRepresentation
bin11001101100110110
312100101220
4121230312
511332040
62131210
7615624
oct315466
9170356
10105270
1172100
1250b06
1338bb9
142a514
15212d0
hex19b36

105270 has 48 divisors (see below), whose sum is σ = 287280. Its totient is φ = 24640.

The previous prime is 105269. The next prime is 105277. The reversal of 105270 is 72501.

105270 = T46 + T47 + ... + T89.

It is a happy number.

It is a super-2 number, since 2×1052702 = 22163545800, which contains 22 as substring.

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

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616 + ... + 3644.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2105270 is an apocalyptic number.

105270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

105270 is an abundant number, since it is smaller than the sum of its proper divisors (182010).

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

105270 is a wasteful number, since it uses less digits than its factorization.

105270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 105270 is about 324.4533864826. The cubic root of 105270 is about 47.2173425690.

Adding to 105270 its reverse (72501), we get a palindrome (177771).

The spelling of 105270 in words is "one hundred five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 870 957 1210 1595 1815 1914 3190 3509 3630 4785 7018 9570 10527 17545 21054 35090 52635 105270