105541540 has 48 divisors (see below), whose sum is σ = 241421040. Its totient is φ = 38522880.

The previous prime is 105541531. The next prime is 105541573. The reversal of 105541540 is 45145501.

It is a happy number.

105541540 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 25725184 + 79816356 = 5072^2 + 8934^2 .

It is a super-2 number, since 2×105541540² = 22278033331143200, which contains 22 as substring.

105541540 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20860 + ... + 25420.

It is an arithmetic number, because the mean of its divisors is an integer number (5029605).

Almost surely, 2^105541540 is an apocalyptic number.

105541540 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 105541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120710520).

105541540 is an abundant number, since it is smaller than the sum of its proper divisors (135879500).

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

105541540 is a wasteful number, since it uses less digits than its factorization.

105541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 105541540 is about 10273.3412286364. The cubic root of 105541540 is about 472.5790616374.

The spelling of 105541540 in words is "one hundred five million, five hundred forty-one thousand, five hundred forty".