105534529 has 3 divisors (see below), whose sum is σ = 105544803. Its totient is φ = 105524256.

The previous prime is 105534503. The next prime is 105534547. The reversal of 105534529 is 925435501.

The square root of 105534529 is 10273.

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, and also an emirpimes, since its reverse is a distinct semiprime: 925435501 = 29 ⋅31911569.

It can be written as a sum of positive squares in only one way, i.e., 23668225 + 81866304 = 4865^2 + 9048^2 .

It is not a de Polignac number, because 105534529 - 2⁵ = 105534497 is a prime.

It is a super-2 number, since 2×105534529² = 22275073622503682, 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 = 105534494 and 105534503.

It is not an unprimeable number, because it can be changed into a prime (105534029) 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, 5137 + ... + 15409.

It is an arithmetic number, because the mean of its divisors is an integer number (35181601).

Almost surely, 2^105534529 is an apocalyptic number.

105534529 is the 10273-rd square number.

105534529 is the 5137-th centered octagonal number.

It is an amenable number.

105534529 is a deficient number, since it is larger than the sum of its proper divisors (10274).

105534529 is an frugal number, since it uses more digits than its factorization.

105534529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20546 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The cubic root of 105534529 is about 472.5685971159.

The spelling of 105534529 in words is "one hundred five million, five hundred thirty-four thousand, five hundred twenty-nine".