10005050 has 24 divisors (see below), whose sum is σ = 20302272. Its totient is φ = 3638000.

The previous prime is 10005041. The next prime is 10005053. The reversal of 10005050 is 5050001.

It is a Harshad number since it is a multiple of its sum of digits (11).

10005050 is a modest number, since divided by 5050 gives 1000 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10005053) 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 11 ways as a sum of consecutive naturals, for example, 8546 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (845928).

Almost surely, 2^10005050 is an apocalyptic number.

10005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005050 is an abundant number, since it is smaller than the sum of its proper divisors (10297222).

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

10005050 is a wasteful number, since it uses less digits than its factorization.

10005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 10005050 is about 3163.0760344955. The cubic root of 10005050 is about 215.4797292174.

Adding to 10005050 its reverse (5050001), we get a palindrome (15055051).

The spelling of 10005050 in words is "ten million, five thousand, fifty".