105328080 has 480 divisors, whose sum is σ = 443304960. Its totient is φ = 22809600.

The previous prime is 105328051. The next prime is 105328103. The reversal of 105328080 is 80823501.

It is a happy number.

It is a super-2 number, since 2×105328080² = 22188008872972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 3397665 + ... + 3397695.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^105328080 is an apocalyptic number.

105328080 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 105328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

105328080 is an abundant number, since it is smaller than the sum of its proper divisors (337976880).

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

105328080 is a wasteful number, since it uses less digits than its factorization.

105328080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105328080 is about 10262.9469452005. The cubic root of 105328080 is about 472.2602462167.

The spelling of 105328080 in words is "one hundred five million, three hundred twenty-eight thousand, eighty".