105655418880 has 960 divisors, whose sum is σ = 414468472320. Its totient is φ = 22837985280.

The previous prime is 105655418851. The next prime is 105655418929. The reversal of 105655418880 is 88814556501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105655418880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5560811511 + ... + 5560811529.

It is an arithmetic number, because the mean of its divisors is an integer number (431737992).

Almost surely, 2^105655418880 is an apocalyptic number.

105655418880 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 105655418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207234236160).

105655418880 is an abundant number, since it is smaller than the sum of its proper divisors (308813053440).

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

105655418880 is an equidigital number, since it uses as much as digits as its factorization.

105655418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 51.

The spelling of 105655418880 in words is "one hundred five billion, six hundred fifty-five million, four hundred eighteen thousand, eight hundred eighty".