10506249 has 12 divisors (see below), whose sum is σ = 16343236. Its totient is φ = 6465312.

The previous prime is 10506247. The next prime is 10506257. The reversal of 10506249 is 94260501.

It can be written as a sum of positive squares in 2 ways, for example, as 1774224 + 8732025 = 1332^2 + 2955^2 .

It is not a de Polignac number, because 10506249 - 2¹ = 10506247 is a prime.

It is a super-2 number, since 2×10506249² = 220762536100002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44782 + ... + 45015.

Almost surely, 2^10506249 is an apocalyptic number.

It is an amenable number.

10506249 is a deficient number, since it is larger than the sum of its proper divisors (5836987).

10506249 is a wasteful number, since it uses less digits than its factorization.

10506249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89816 (or 89813 counting only the distinct ones).

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

The square root of 10506249 is about 3241.3344474151. The cubic root of 10506249 is about 219.0193890383.

It can be divided in two parts, 105062 and 49, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10506249 in words is "ten million, five hundred six thousand, two hundred forty-nine".