105205061 has 8 divisors (see below), whose sum is σ = 119962584. Its totient is φ = 91399680.

The previous prime is 105205049. The next prime is 105205063. The reversal of 105205061 is 160502501.

It can be written as a sum of positive squares in 4 ways, for example, as 1674436 + 103530625 = 1294^2 + 10175^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105205061 - 2¹⁸ = 104942917 is a prime.

It is a super-2 number, since 2×105205061² = 22136209720027442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105205063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237800 + ... + 238241.

It is an arithmetic number, because the mean of its divisors is an integer number (14995323).

Almost surely, 2^105205061 is an apocalyptic number.

It is an amenable number.

105205061 is a deficient number, since it is larger than the sum of its proper divisors (14757523).

105205061 is a wasteful number, since it uses less digits than its factorization.

105205061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476071.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105205061 is about 10256.9518376563. The cubic root of 105205061 is about 472.0763142071.

Adding to 105205061 its reverse (160502501), we get a palindrome (265707562).

The spelling of 105205061 in words is "one hundred five million, two hundred five thousand, sixty-one".