105508128 has 144 divisors (see below), whose sum is σ = 315318528. Its totient is φ = 30835200.

The previous prime is 105508087. The next prime is 105508147. The reversal of 105508128 is 821805501.

It is a super-2 number, since 2×105508128² = 22263930148128768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105508095 and 105508104.

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, 359950 + ... + 360242.

It is an arithmetic number, because the mean of its divisors is an integer number (2189712).

Almost surely, 2^105508128 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 105508128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157659264).

105508128 is an abundant number, since it is smaller than the sum of its proper divisors (209810400).

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

105508128 is a wasteful number, since it uses less digits than its factorization.

105508128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 105508128 is about 10271.7149493159. The cubic root of 105508128 is about 472.5291871895.

The spelling of 105508128 in words is "one hundred five million, five hundred eight thousand, one hundred twenty-eight".