105217781760 has 2080 divisors, whose sum is σ = 503516103552. Its totient is φ = 20384317440.

The previous prime is 105217781723. The next prime is 105217781839. The reversal of 105217781760 is 67187712501.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×105217781760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 2566287340 + ... + 2566287380.

Almost surely, 2^105217781760 is an apocalyptic number.

105217781760 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 105217781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251758051776).

105217781760 is an abundant number, since it is smaller than the sum of its proper divisors (398298321792).

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

105217781760 is a wasteful number, since it uses less digits than its factorization.

105217781760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 105217781760 in words is "one hundred five billion, two hundred seventeen million, seven hundred eighty-one thousand, seven hundred sixty".