105482128320 has 84 divisors (see below), whose sum is σ = 362814580440. Its totient is φ = 28128566784.

The previous prime is 105482128249. The next prime is 105482128327. The reversal of 105482128320 is 23821284501.

It is a happy number.

105482128320 is a `hidden beast` number, since 1 + 0 + 548 + 2 + 12 + 83 + 20 = 666.

It is a super-2 number, since 2×105482128320² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105482128327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18309990 + ... + 18315749.

Almost surely, 2^105482128320 is an apocalyptic number.

105482128320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105482128320 is an abundant number, since it is smaller than the sum of its proper divisors (257332452120).

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

105482128320 is a wasteful number, since it uses less digits than its factorization.

105482128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36625762 (or 36625749 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 105482128320 in words is "one hundred five billion, four hundred eighty-two million, one hundred twenty-eight thousand, three hundred twenty".