105680960724 has 48 divisors (see below), whose sum is σ = 251221436928. Its totient is φ = 34569198048.

The previous prime is 105680960701. The next prime is 105680960729. The reversal of 105680960724 is 427069086501.

It is a super-2 number, since 2×105680960724² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105680960729) 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, 38442 + ... + 461345.

It is an arithmetic number, because the mean of its divisors is an integer number (5233779936).

Almost surely, 2^105680960724 is an apocalyptic number.

It is an amenable number.

105680960724 is an abundant number, since it is smaller than the sum of its proper divisors (145540476204).

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

105680960724 is a wasteful number, since it uses less digits than its factorization.

105680960724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500124 (or 500122 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 105680960724 in words is "one hundred five billion, six hundred eighty million, nine hundred sixty thousand, seven hundred twenty-four".