105541800 has 192 divisors, whose sum is σ = 402890880. Its totient is φ = 22256640.

The previous prime is 105541783. The next prime is 105541811. The reversal of 105541800 is 8145501.

It is a super-2 number, since 2×105541800² = 22278143094480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53634 + ... + 55566.

It is an arithmetic number, because the mean of its divisors is an integer number (2098390).

Almost surely, 2^105541800 is an apocalyptic number.

105541800 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 105541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201445440).

105541800 is an abundant number, since it is smaller than the sum of its proper divisors (297349080).

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

105541800 is a wasteful number, since it uses less digits than its factorization.

105541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 105541800 is about 10273.3538827396. The cubic root of 105541800 is about 472.5794497009.

The spelling of 105541800 in words is "one hundred five million, five hundred forty-one thousand, eight hundred".