105328874880 has 384 divisors, whose sum is σ = 382537209600. Its totient is φ = 27689195520.

The previous prime is 105328874869. The next prime is 105328874899. The reversal of 105328874880 is 88478823501.

105328874880 is a `hidden beast` number, since 10 + 53 + 28 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105328874880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11037151 + ... + 11046689.

It is an arithmetic number, because the mean of its divisors is an integer number (996190650).

Almost surely, 2^105328874880 is an apocalyptic number.

105328874880 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 105328874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191268604800).

105328874880 is an abundant number, since it is smaller than the sum of its proper divisors (277208334720).

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

105328874880 is an frugal number, since it uses more digits than its factorization.

105328874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9620 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 105328874880 in words is "one hundred five billion, three hundred twenty-eight million, eight hundred seventy-four thousand, eight hundred eighty".