105541860 has 48 divisors (see below), whose sum is σ = 296384256. Its totient is φ = 28061952.

The previous prime is 105541847. The next prime is 105541861. The reversal of 105541860 is 68145501.

It is a super-2 number, since 2×105541860² = 22278168424519200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105541861) 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, 19624 + ... + 24416.

It is an arithmetic number, because the mean of its divisors is an integer number (6174672).

Almost surely, 2^105541860 is an apocalyptic number.

105541860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105541860 is an abundant number, since it is smaller than the sum of its proper divisors (190842396).

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

105541860 is a wasteful number, since it uses less digits than its factorization.

105541860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105541860 is about 10273.3568029150. The cubic root of 105541860 is about 472.5795392539.

The spelling of 105541860 in words is "one hundred five million, five hundred forty-one thousand, eight hundred sixty".