10006150 has 96 divisors (see below), whose sum is σ = 24427008. Its totient is φ = 2956800.

The previous prime is 10006121. The next prime is 10006151. The reversal of 10006150 is 5160001.

10006150 is a modest number, since divided by 6150 gives 100 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10006150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006151) 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 47 ways as a sum of consecutive naturals, for example, 88494 + ... + 88606.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 2^10006150 is an apocalyptic number.

10006150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006150 is the 1582-nd decagonal number.

10006150 is an abundant number, since it is smaller than the sum of its proper divisors (14420858).

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

10006150 is a wasteful number, since it uses less digits than its factorization.

10006150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10006150 is about 3163.2499110883. The cubic root of 10006150 is about 215.4876258634.

Adding to 10006150 its reverse (5160001), we get a palindrome (15166151).

The spelling of 10006150 in words is "ten million, six thousand, one hundred fifty".