6105001105680 has 80 divisors (see below), whose sum is σ = 18931187534784. Its totient is φ = 1627511339520.

The previous prime is 6105001105669. The next prime is 6105001105681. The reversal of 6105001105680 is 865011005016.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (6105001105681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3018859 + ... + 4617738.

Almost surely, 2^{6105001105680} is an apocalyptic number.

6105001105680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6105001105680 is an abundant number, since it is smaller than the sum of its proper divisors (12826186429104).

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

6105001105680 is a wasteful number, since it uses less digits than its factorization.

6105001105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639944 (or 7639938 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 6105001105680 in words is "six trillion, one hundred five billion, one million, one hundred five thousand, six hundred eighty".