10005006010 has 8 divisors (see below), whose sum is σ = 18009010836. Its totient is φ = 4002002400.

The previous prime is 10005005993. The next prime is 10005006031. The reversal of 10005006010 is 1060050001.

It can be written as a sum of positive squares in 2 ways, for example, as 9998600049 + 6405961 = 99993^2 + 2531^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×10005006010² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500250291 + ... + 500250310.

Almost surely, 2^10005006010 is an apocalyptic number.

10005006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005006010 is a deficient number, since it is larger than the sum of its proper divisors (8004004826).

10005006010 is a wasteful number, since it uses less digits than its factorization.

10005006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000500608.

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

Adding to 10005006010 its reverse (1060050001), we get a palindrome (11065056011).

The spelling of 10005006010 in words is "ten billion, five million, six thousand, ten".