105630528 has 112 divisors (see below), whose sum is σ = 294802560. Its totient is φ = 33331200.

The previous prime is 105630509. The next prime is 105630529. The reversal of 105630528 is 825036501.

It is a super-2 number, since 2×105630528² = 22315616891117568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105630495 and 105630504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105630529) 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, 339493 + ... + 339803.

Almost surely, 2^105630528 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 105630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147401280).

105630528 is an abundant number, since it is smaller than the sum of its proper divisors (189172032).

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

105630528 is a wasteful number, since it uses less digits than its factorization.

105630528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105630528 is about 10277.6713315809. The cubic root of 105630528 is about 472.7118436420.

The spelling of 105630528 in words is "one hundred five million, six hundred thirty thousand, five hundred twenty-eight".