105828480 has 192 divisors, whose sum is σ = 385070400. Its totient is φ = 26707968.

The previous prime is 105828449. The next prime is 105828491. The reversal of 105828480 is 84828501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105828480² = 22399334358220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108957 + ... + 109923.

It is an arithmetic number, because the mean of its divisors is an integer number (2005575).

Almost surely, 2^105828480 is an apocalyptic number.

105828480 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 105828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

105828480 is an abundant number, since it is smaller than the sum of its proper divisors (279241920).

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

105828480 is a wasteful number, since it uses less digits than its factorization.

105828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 105828480 is about 10287.2970210838. The cubic root of 105828480 is about 473.0069472912.

The spelling of 105828480 in words is "one hundred five million, eight hundred twenty-eight thousand, four hundred eighty".