10500006 has 32 divisors (see below), whose sum is σ = 23908608. Its totient is φ = 3043040.

The previous prime is 10499981. The next prime is 10500013. The reversal of 10500006 is 60000501.

It is a super-2 number, since 2×10500006² = 220500252000072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10499964 and 10500000.

It is a congruent number.

It is an unprimeable number.

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, 1941 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (747144).

Almost surely, 2^10500006 is an apocalyptic number.

10500006 is an abundant number, since it is smaller than the sum of its proper divisors (13408602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10500006 is a wasteful number, since it uses less digits than its factorization.

10500006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10500006 is about 3240.3712750239. The cubic root of 10500006 is about 218.9759987041.

Adding to 10500006 its reverse (60000501), we get a palindrome (70500507).

The spelling of 10500006 in words is "ten million, five hundred thousand, six".