105441400240 has 80 divisors (see below), whose sum is σ = 267553518336. Its totient is φ = 38325728000.

The previous prime is 105441400133. The next prime is 105441400247. The reversal of 105441400240 is 42004144501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105441400240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105441400247) 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, 2107515 + ... + 2156965.

Almost surely, 2^105441400240 is an apocalyptic number.

105441400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105441400240 is an abundant number, since it is smaller than the sum of its proper divisors (162112118096).

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

105441400240 is a wasteful number, since it uses less digits than its factorization.

105441400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51898 (or 51892 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 105441400240 its reverse (42004144501), we get a palindrome (147445544741).

The spelling of 105441400240 in words is "one hundred five billion, four hundred forty-one million, four hundred thousand, two hundred forty".