105104128 has 36 divisors (see below), whose sum is σ = 212494240. Its totient is φ = 51876864.

The previous prime is 105104123. The next prime is 105104171. The reversal of 105104128 is 821401501.

It is a super-2 number, since 2×105104128² = 22093755445280768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105104099 and 105104108.

It is not an unprimeable number, because it can be changed into a prime (105104123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17626 + ... + 22822.

Almost surely, 2^105104128 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 105104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106247120).

105104128 is an abundant number, since it is smaller than the sum of its proper divisors (107390112).

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

105104128 is an frugal number, since it uses more digits than its factorization.

105104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 105104128 is about 10252.0304330411. The cubic root of 105104128 is about 471.9252969968.

Adding to 105104128 its reverse (821401501), we get a palindrome (926505629).

The spelling of 105104128 in words is "one hundred five million, one hundred four thousand, one hundred twenty-eight".