10646000010 has 96 divisors (see below), whose sum is σ = 29924069760. Its totient is φ = 2616810624.

The previous prime is 10646000009. The next prime is 10646000039. The reversal of 10646000010 is 1000064601.

10646000010 is a `hidden beast` number, since 1 + 0 + 64 + 600 + 0 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×10646000010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20862 + ... + 147401.

It is an arithmetic number, because the mean of its divisors is an integer number (311709060).

Almost surely, 2^10646000010 is an apocalyptic number.

10646000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14962034880).

10646000010 is an abundant number, since it is smaller than the sum of its proper divisors (19278069750).

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

10646000010 is a wasteful number, since it uses less digits than its factorization.

10646000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168332 (or 168329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10646000010 its reverse (1000064601), we get a palindrome (11646064611).

The spelling of 10646000010 in words is "ten billion, six hundred forty-six million, ten", and thus it is an aban number.