105232128 has 72 divisors (see below), whose sum is σ = 284058768. Its totient is φ = 34578432.

The previous prime is 105232123. The next prime is 105232147. The reversal of 105232128 is 821232501.

It is a super-2 number, since 2×105232128² = 22147601526816768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105232098 and 105232107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55126 + ... + 57002.

Almost surely, 2^105232128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142029384).

105232128 is an abundant number, since it is smaller than the sum of its proper divisors (178826640).

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

105232128 is an equidigital number, since it uses as much as digits as its factorization.

105232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105232128 is about 10258.2711993786. The cubic root of 105232128 is about 472.1167957639.

Adding to 105232128 its reverse (821232501), we get a palindrome (926464629).

The spelling of 105232128 in words is "one hundred five million, two hundred thirty-two thousand, one hundred twenty-eight".