105206049 has 27 divisors (see below), whose sum is σ = 165181107. Its totient is φ = 64496016.

The previous prime is 105206039. The next prime is 105206083. The reversal of 105206049 is 940602501.

The square root of 105206049 is 10257.

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

105206049 is a `hidden beast` number, since 1 + 0 + 52 + 0 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15563025 + 89643024 = 3945^2 + 9468^2 .

It is not a de Polignac number, because 105206049 - 2²¹ = 103108897 is a prime.

It is a super-2 number, since 2×105206049² = 22136625492380802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105206039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 399892 + ... + 400154.

Almost surely, 2^105206049 is an apocalyptic number.

105206049 is the 10257-th square number.

105206049 is the 5129-th centered octagonal number.

It is an amenable number.

105206049 is a deficient number, since it is larger than the sum of its proper divisors (59975058).

105206049 is an equidigital number, since it uses as much as digits as its factorization.

105206049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 105206049 is about 472.0777919876.

The spelling of 105206049 in words is "one hundred five million, two hundred six thousand, forty-nine".