105525520 has 40 divisors (see below), whose sum is σ = 248120280. Its totient is φ = 41733120.

The previous prime is 105525499. The next prime is 105525523. The reversal of 105525520 is 25525501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 103876864 = 1284^2 + 10192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105525520² = 22271270742540800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105525523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 14530.

It is an arithmetic number, because the mean of its divisors is an integer number (6203007).

Almost surely, 2^105525520 is an apocalyptic number.

105525520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124060140).

105525520 is an abundant number, since it is smaller than the sum of its proper divisors (142594760).

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

105525520 is a wasteful number, since it uses less digits than its factorization.

105525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14923 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 105525520 is about 10272.5615111325. The cubic root of 105525520 is about 472.5551497267. Note that the first 3 decimals are identical.

It can be divided in two parts, 105 and 525520, that added together give a square (525625 = 725²).

The spelling of 105525520 in words is "one hundred five million, five hundred twenty-five thousand, five hundred twenty".