105408995328 has 448 divisors, whose sum is σ = 384447409920. Its totient is φ = 27794866176.

The previous prime is 105408995311. The next prime is 105408995333. The reversal of 105408995328 is 823599804501.

105408995328 is a `hidden beast` number, since 1 + 0 + 540 + 8 + 9 + 95 + 3 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105408995328² (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 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 31 ways as a sum of consecutive naturals, for example, 20125126 + ... + 20130362.

It is an arithmetic number, because the mean of its divisors is an integer number (858141540).

Almost surely, 2^105408995328 is an apocalyptic number.

105408995328 is a gapful number since it is divisible by the number (18) 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 105408995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192223704960).

105408995328 is an abundant number, since it is smaller than the sum of its proper divisors (279038414592).

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

105408995328 is an equidigital number, since it uses as much as digits as its factorization.

105408995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 105408995328 in words is "one hundred five billion, four hundred eight million, nine hundred ninety-five thousand, three hundred twenty-eight".