10646103612132 has 288 divisors, whose sum is σ = 28302281280000. Its totient is φ = 3369864314880.

The previous prime is 10646103612113. The next prime is 10646103612173. The reversal of 10646103612132 is 23121630164601.

10646103612132 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 6 + 1 + 0 + 3 + 612 + 1 + 32 = 666.

It is a super-2 number, since 2×10646103612132² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15015660594 + ... + 15015661302.

It is an arithmetic number, because the mean of its divisors is an integer number (98271810000).

Almost surely, 2^{10646103612132} is an apocalyptic number.

10646103612132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10646103612132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151140640000).

10646103612132 is an abundant number, since it is smaller than the sum of its proper divisors (17656177667868).

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

10646103612132 is a wasteful number, since it uses less digits than its factorization.

10646103612132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10646103612132 its reverse (23121630164601), we get a palindrome (33767733776733).

The spelling of 10646103612132 in words is "ten trillion, six hundred forty-six billion, one hundred three million, six hundred twelve thousand, one hundred thirty-two".