105561680000 has 320 divisors, whose sum is σ = 306539376000. Its totient is φ = 36183168000.

The previous prime is 105561679997. The next prime is 105561680009. The reversal of 105561680000 is 86165501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105561680000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105561680009) 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 39 ways as a sum of consecutive naturals, for example, 27438077 + ... + 27441923.

It is an arithmetic number, because the mean of its divisors is an integer number (957935550).

Almost surely, 2^105561680000 is an apocalyptic number.

105561680000 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 105561680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153269688000).

105561680000 is an abundant number, since it is smaller than the sum of its proper divisors (200977696000).

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

105561680000 is an frugal number, since it uses more digits than its factorization.

105561680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The spelling of 105561680000 in words is "one hundred five billion, five hundred sixty-one million, six hundred eighty thousand".