105863521 has 3 divisors (see below), whose sum is σ = 105873811. Its totient is φ = 105853232.

The previous prime is 105863519. The next prime is 105863531. The reversal of 105863521 is 125368501.

The square root of 105863521 is 10289.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 94303521 + 11560000 = 9711^2 + 3400^2 .

It is not a de Polignac number, because 105863521 - 2¹ = 105863519 is a prime.

It is a super-2 number, since 2×105863521² = 22414170157034882, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105863531) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5145 + ... + 15433.

Almost surely, 2^105863521 is an apocalyptic number.

105863521 is the 10289-th square number.

105863521 is the 5145-th centered octagonal number.

It is an amenable number.

105863521 is a deficient number, since it is larger than the sum of its proper divisors (10290).

105863521 is an frugal number, since it uses more digits than its factorization.

105863521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The cubic root of 105863521 is about 473.0591475036.

The spelling of 105863521 in words is "one hundred five million, eight hundred sixty-three thousand, five hundred twenty-one".