10500006006010 has 8 divisors (see below), whose sum is σ = 18900010810836. Its totient is φ = 4200002402400.

The previous prime is 10500006005933. The next prime is 10500006006011. The reversal of 10500006006010 is 1060060000501.

It can be written as a sum of positive squares in 2 ways, for example, as 10450989374401 + 49016631609 = 3232799^2 + 221397^2 .

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

It is a super-2 number, since 2×10500006006010² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10500006006011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 525000300291 + ... + 525000300310.

Almost surely, 2^{10500006006010} is an apocalyptic number.

10500006006010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10500006006010 is a deficient number, since it is larger than the sum of its proper divisors (8400004804826).

10500006006010 is a wasteful number, since it uses less digits than its factorization.

10500006006010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050000600608.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10500006006010 its reverse (1060060000501), we get a palindrome (11560066006511).

The spelling of 10500006006010 in words is "ten trillion, five hundred billion, six million, six thousand, ten".