10506331 has 16 divisors (see below), whose sum is σ = 12089088. Its totient is φ = 9037600.

The previous prime is 10506317. The next prime is 10506343. The reversal of 10506331 is 13360501.

It is not a de Polignac number, because 10506331 - 2¹³ = 10498139 is a prime.

It is a super-2 number, since 2×10506331² = 220765982163122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10506299 and 10506308.

It is not an unprimeable number, because it can be changed into a prime (10506311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32985 + ... + 33301.

It is an arithmetic number, because the mean of its divisors is an integer number (755568).

Almost surely, 2^10506331 is an apocalyptic number.

10506331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10506331 is a deficient number, since it is larger than the sum of its proper divisors (1582757).

10506331 is a wasteful number, since it uses less digits than its factorization.

10506331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 10506331 is about 3241.3470965017. The cubic root of 10506331 is about 219.0199588435.

Adding to 10506331 its reverse (13360501), we get a palindrome (23866832).

It can be divided in two parts, 1050 and 6331, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 10506331 in words is "ten million, five hundred six thousand, three hundred thirty-one".