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105521 = 138117
BaseRepresentation
bin11001110000110001
312100202012
4121300301
511334041
62132305
7616433
oct316061
9170665
10105521
1172309
1251095
1339050
142a653
15213eb
hex19c31

105521 has 4 divisors (see below), whose sum is σ = 113652. Its totient is φ = 97392.

The previous prime is 105517. The next prime is 105527. The reversal of 105521 is 125501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 125501 = 413061.

It can be written as a sum of positive squares in 2 ways, for example, as 57121 + 48400 = 239^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 105521 - 22 = 105517 is a prime.

It is a super-2 number, since 2×1055212 = 22269362882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105496 and 105505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105521.

It is not an unprimeable number, because it can be changed into a prime (105527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4046 + ... + 4071.

It is an arithmetic number, because the mean of its divisors is an integer number (28413).

2105521 is an apocalyptic number.

It is an amenable number.

105521 is a deficient number, since it is larger than the sum of its proper divisors (8131).

105521 is an equidigital number, since it uses as much as digits as its factorization.

105521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130.

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105521 is about 324.8399605960. The cubic root of 105521 is about 47.2548402608.

It can be divided in two parts, 1055 and 21, that multiplied together give a triangular number (22155 = T210).

The spelling of 105521 in words is "one hundred five thousand, five hundred twenty-one".

Divisors: 1 13 8117 105521