105128320 has 128 divisors (see below), whose sum is σ = 278704800. Its totient is φ = 37601280.

The previous prime is 105128281. The next prime is 105128321. The reversal of 105128320 is 23821501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105128320² = 22103927332044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 105128291 and 105128300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105128321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767292 + ... + 767428.

Almost surely, 2^105128320 is an apocalyptic number.

105128320 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 105128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139352400).

105128320 is an abundant number, since it is smaller than the sum of its proper divisors (173576480).

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

105128320 is a wasteful number, since it uses less digits than its factorization.

105128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105128320 is about 10253.2102289966. The cubic root of 105128320 is about 471.9615021746.

Adding to 105128320 its reverse (23821501), we get a palindrome (128949821).

The spelling of 105128320 in words is "one hundred five million, one hundred twenty-eight thousand, three hundred twenty".