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108241 = 72472
BaseRepresentation
bin11010011011010001
312111110221
4122123101
511430431
62153041
7630400
oct323321
9174427
10108241
1174361
1252781
133a363
142b637
1522111
hex1a6d1

108241 has 9 divisors (see below), whose sum is σ = 128649. Its totient is φ = 90804.

The previous prime is 108233. The next prime is 108247. The reversal of 108241 is 142801.

108241 = T43 + T44 + ... + T89.

It is a happy number.

The square root of 108241 is 329.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 108241 - 23 = 108233 is a prime.

It is a super-2 number, since 2×1082412 = 23432228162, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (108247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2280 + ... + 2326.

108241 is a Friedman number, since it can be written as (41*8+1+0)^2, using all its digits and the basic arithmetic operations.

2108241 is an apocalyptic number.

108241 is the 329-th square number.

108241 is the 165-th centered octagonal number.

It is an amenable number.

108241 is a deficient number, since it is larger than the sum of its proper divisors (20408).

108241 is an frugal number, since it uses more digits than its factorization.

108241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The cubic root of 108241 is about 47.6574278039.

Multiplying 108241 by its sum of digits (16), we get a square (1731856 = 13162).

Multiplying 108241 by its product of nonzero digits (64), we get a square (6927424 = 26322).

The spelling of 108241 in words is "one hundred eight thousand, two hundred forty-one".

Divisors: 1 7 47 49 329 2209 2303 15463 108241