105541530 has 32 divisors (see below), whose sum is σ = 254185344. Its totient is φ = 28046016.

The previous prime is 105541519. The next prime is 105541531. The reversal of 105541530 is 35145501.

It is a super-2 number, since 2×105541530² = 22278029109481800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105541530.

It is not an unprimeable number, because it can be changed into a prime (105541531) 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, 2787 + ... + 14793.

It is an arithmetic number, because the mean of its divisors is an integer number (7943292).

Almost surely, 2^105541530 is an apocalyptic number.

105541530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105541530 is an abundant number, since it is smaller than the sum of its proper divisors (148643814).

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

105541530 is a wasteful number, since it uses less digits than its factorization.

105541530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12310.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105541530 is about 10273.3407419398. The cubic root of 105541530 is about 472.5790467119.

The spelling of 105541530 in words is "one hundred five million, five hundred forty-one thousand, five hundred thirty".