105665460000 has 480 divisors, whose sum is σ = 371266156800. Its totient is φ = 26225280000.

The previous prime is 105665459987. The next prime is 105665460001. The reversal of 105665460000 is 64566501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105665460000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105665460001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 67259215 + ... + 67260785.

It is an arithmetic number, because the mean of its divisors is an integer number (773471160).

Almost surely, 2^105665460000 is an apocalyptic number.

105665460000 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 105665460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185633078400).

105665460000 is an abundant number, since it is smaller than the sum of its proper divisors (265600696800).

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

105665460000 is a wasteful number, since it uses less digits than its factorization.

105665460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 105665460000 in words is "one hundred five billion, six hundred sixty-five million, four hundred sixty thousand".