105441521400 has 288 divisors, whose sum is σ = 368433561600. Its totient is φ = 26994643200.

The previous prime is 105441521377. The next prime is 105441521453. The reversal of 105441521400 is 4125144501.

105441521400 is a `hidden beast` number, since 1 + 0 + 5 + 441 + 5 + 214 + 0 + 0 = 666.

It is a super-2 number, since 2×105441521400² (a number of 23 digits) 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 71 ways as a sum of consecutive naturals, for example, 7079161 + ... + 7094039.

It is an arithmetic number, because the mean of its divisors is an integer number (1279283200).

Almost surely, 2^105441521400 is an apocalyptic number.

105441521400 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 105441521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184216780800).

105441521400 is an abundant number, since it is smaller than the sum of its proper divisors (262992040200).

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

105441521400 is a wasteful number, since it uses less digits than its factorization.

105441521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15059 (or 15047 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105441521400 its reverse (4125144501), we get a palindrome (109566665901).

The spelling of 105441521400 in words is "one hundred five billion, four hundred forty-one million, five hundred twenty-one thousand, four hundred".