105441404130 has 80 divisors (see below), whose sum is σ = 283596639480. Its totient is φ = 28110129408.

The previous prime is 105441404113. The next prime is 105441404143. The reversal of 105441404130 is 31404144501.

105441404130 is a `hidden beast` number, since 10 + 544 + 1 + 40 + 41 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78954818121 + 26486586009 = 280989^2 + 162747^2 .

It is a super-2 number, since 2×105441404130² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105441404094 and 105441404103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3400336 + ... + 3431204.

Almost surely, 2^105441404130 is an apocalyptic number.

105441404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105441404130 is an abundant number, since it is smaller than the sum of its proper divisors (178155235350).

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

105441404130 is a wasteful number, since it uses less digits than its factorization.

105441404130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35105 (or 35096 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 105441404130 its reverse (31404144501), we get a palindrome (136845548631).

The spelling of 105441404130 in words is "one hundred five billion, four hundred forty-one million, four hundred four thousand, one hundred thirty".