105344426880 has 1536 divisors, whose sum is σ = 496148889600. Its totient is φ = 20692869120.

The previous prime is 105344426867. The next prime is 105344426911. The reversal of 105344426880 is 88624443501.

105344426880 is a `hidden beast` number, since 10 + 534 + 4 + 4 + 26 + 8 + 80 = 666.

It is a super-2 number, since 2×105344426880² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227525529 + ... + 227525991.

It is an arithmetic number, because the mean of its divisors is an integer number (323013600).

Almost surely, 2^105344426880 is an apocalyptic number.

105344426880 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 105344426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248074444800).

105344426880 is an abundant number, since it is smaller than the sum of its proper divisors (390804462720).

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

105344426880 is a wasteful number, since it uses less digits than its factorization.

105344426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 105344426880 in words is "one hundred five billion, three hundred forty-four million, four hundred twenty-six thousand, eight hundred eighty".