10505131 has 16 divisors (see below), whose sum is σ = 13129984. Its totient is φ = 8182944.

The previous prime is 10505129. The next prime is 10505137. The reversal of 10505131 is 13150501.

It is not a de Polignac number, because 10505131 - 2¹ = 10505129 is a prime.

It is a super-2 number, since 2×10505131² = 220715554654322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5236 + ... + 6958.

It is an arithmetic number, because the mean of its divisors is an integer number (820624).

Almost surely, 2^10505131 is an apocalyptic number.

10505131 is a deficient number, since it is larger than the sum of its proper divisors (2624853).

10505131 is a wasteful number, since it uses less digits than its factorization.

10505131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 10505131 is about 3241.1619829931. The cubic root of 10505131 is about 219.0116199363.

Adding to 10505131 its reverse (13150501), we get a palindrome (23655632).

The spelling of 10505131 in words is "ten million, five hundred five thousand, one hundred thirty-one".