105525144 has 48 divisors (see below), whose sum is σ = 292776120. Its totient is φ = 34316160.

The previous prime is 105525143. The next prime is 105525149. The reversal of 105525144 is 441525501.

It is a super-2 number, since 2×105525144² = 22271112032441472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14922 + ... + 20825.

Almost surely, 2^105525144 is an apocalyptic number.

It is an amenable number.

105525144 is an abundant number, since it is smaller than the sum of its proper divisors (187250976).

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

105525144 is a wasteful number, since it uses less digits than its factorization.

105525144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35800 (or 35793 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 105525144 is about 10272.5432099359. The cubic root of 105525144 is about 472.5545884693.

The spelling of 105525144 in words is "one hundred five million, five hundred twenty-five thousand, one hundred forty-four".