105665746880 has 112 divisors (see below), whose sum is σ = 259920175104. Its totient is φ = 40873436160.

The previous prime is 105665746829. The next prime is 105665746891. The reversal of 105665746880 is 88647566501.

It is a super-2 number, since 2×105665746880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18081239 + ... + 18087081.

Almost surely, 2^105665746880 is an apocalyptic number.

105665746880 is a gapful number since it is divisible by the number (10) 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 105665746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960087552).

105665746880 is an abundant number, since it is smaller than the sum of its proper divisors (154254428224).

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

105665746880 is a wasteful number, since it uses less digits than its factorization.

105665746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 105665746880 in words is "one hundred five billion, six hundred sixty-five million, seven hundred forty-six thousand, eight hundred eighty".