105525126 has 96 divisors (see below), whose sum is σ = 287280000. Its totient is φ = 28549584.

The previous prime is 105525097. The next prime is 105525143. The reversal of 105525126 is 621525501.

105525126 is a `hidden beast` number, since 10 + 5 + 525 + 126 = 666.

It is a super-2 number, since 2×105525126² = 22271104434631752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105525126.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49225 + ... + 51323.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^105525126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105525126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640000).

105525126 is an abundant number, since it is smaller than the sum of its proper divisors (181754874).

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

105525126 is a wasteful number, since it uses less digits than its factorization.

105525126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105525126 is about 10272.5423338140. The cubic root of 105525126 is about 472.5545616005.

The spelling of 105525126 in words is "one hundred five million, five hundred twenty-five thousand, one hundred twenty-six".