1012105465680 has 160 divisors (see below), whose sum is σ = 3356802829440. Its totient is φ = 251498096640.

The previous prime is 1012105465663. The next prime is 1012105465687. The reversal of 1012105465680 is 865645012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012105465687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1541127 + ... + 2097446.

It is an arithmetic number, because the mean of its divisors is an integer number (20980017684).

Almost surely, 2^{1012105465680} is an apocalyptic number.

1012105465680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012105465680 is an abundant number, since it is smaller than the sum of its proper divisors (2344697363760).

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

1012105465680 is a wasteful number, since it uses less digits than its factorization.

1012105465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638669 (or 3638663 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 1012105465680 in words is "one trillion, twelve billion, one hundred five million, four hundred sixty-five thousand, six hundred eighty".