105528752 has 100 divisors (see below), whose sum is σ = 247989336. Its totient is φ = 43464960.

The previous prime is 105528749. The next prime is 105528769. The reversal of 105528752 is 257825501.

It is a super-2 number, since 2×105528752² = 22272634997355008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1575023 + ... + 1575089.

Almost surely, 2^105528752 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 105528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123994668).

105528752 is an abundant number, since it is smaller than the sum of its proper divisors (142460584).

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

105528752 is an frugal number, since it uses more digits than its factorization.

105528752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 35.

The square root of 105528752 is about 10272.7188222009. The cubic root of 105528752 is about 472.5599740973.

The spelling of 105528752 in words is "one hundred five million, five hundred twenty-eight thousand, seven hundred fifty-two".