10680505010 has 48 divisors (see below), whose sum is σ = 22383523800. Its totient is φ = 3658636800.

The previous prime is 10680505007. The next prime is 10680505019. The reversal of 10680505010 is 1050508601.

It can be written as a sum of positive squares in 4 ways, for example, as 3646831321 + 7033673689 = 60389^2 + 83867^2 .

It is a super-2 number, since 2×10680505010² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680505019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579416 + ... + 597564.

Almost surely, 2^10680505010 is an apocalyptic number.

10680505010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10680505010 is an abundant number, since it is smaller than the sum of its proper divisors (11703018790).

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

10680505010 is a wasteful number, since it uses less digits than its factorization.

10680505010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19371 (or 19364 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The spelling of 10680505010 in words is "ten billion, six hundred eighty million, five hundred five thousand, ten".