105541600 has 36 divisors (see below), whose sum is σ = 257655384. Its totient is φ = 42216320.

The previous prime is 105541573. The next prime is 105541621. The reversal of 105541600 is 6145501.

It is a super-2 number, since 2×105541600² = 22278058661120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65164 + ... + 66763.

It is an arithmetic number, because the mean of its divisors is an integer number (7157094).

Almost surely, 2^105541600 is an apocalyptic number.

105541600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105541600 is an abundant number, since it is smaller than the sum of its proper divisors (152113784).

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

105541600 is a wasteful number, since it uses less digits than its factorization.

105541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131947 (or 131934 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105541600 is about 10273.3441488154. The cubic root of 105541600 is about 472.5791511906.

The spelling of 105541600 in words is "one hundred five million, five hundred forty-one thousand, six hundred".