105270528 has 144 divisors (see below), whose sum is σ = 324063936. Its totient is φ = 29982720.

The previous prime is 105270523. The next prime is 105270547. The reversal of 105270528 is 825072501.

It is a super-2 number, since 2×105270528² = 22163768130797568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105270495 and 105270504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105270523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143250 + ... + 143982.

It is an arithmetic number, because the mean of its divisors is an integer number (2250444).

Almost surely, 2^105270528 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 105270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162031968).

105270528 is an abundant number, since it is smaller than the sum of its proper divisors (218793408).

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

105270528 is a wasteful number, since it uses less digits than its factorization.

105270528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 105270528 is about 10260.1426890663. The cubic root of 105270528 is about 472.1742151109.

The spelling of 105270528 in words is "one hundred five million, two hundred seventy thousand, five hundred twenty-eight".