105272128 has 42 divisors (see below), whose sum is σ = 226227894. Its totient is φ = 48582144.

The previous prime is 105272119. The next prime is 105272129. The reversal of 105272128 is 821272501.

It can be written as a sum of positive squares in 3 ways, for example, as 4631104 + 100641024 = 2152^2 + 10032^2 .

It is a super-2 number, since 2×105272128² = 22164441867296768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105272096 and 105272105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105272129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5950 + ... + 15682.

Almost surely, 2^105272128 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 105272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113113947).

105272128 is an abundant number, since it is smaller than the sum of its proper divisors (120955766).

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

105272128 is an equidigital number, since it uses as much as digits as its factorization.

105272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9771 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 105272128 is about 10260.2206603952. The cubic root of 105272128 is about 472.1766072807.

The spelling of 105272128 in words is "one hundred five million, two hundred seventy-two thousand, one hundred twenty-eight".