11105251500441 has 32 divisors (see below), whose sum is σ = 17003121868800. Its totient is φ = 6315616891584.

The previous prime is 11105251500367. The next prime is 11105251500521. The reversal of 11105251500441 is 14400515250111.

It is not a de Polignac number, because 11105251500441 - 2¹³ = 11105251492249 is a prime.

It is a super-2 number, since 2×11105251500441² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11105251500399 and 11105251500408.

It is not an unprimeable number, because it can be changed into a prime (11105251500041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232835 + ... + 5214983.

It is an arithmetic number, because the mean of its divisors is an integer number (531347558400).

Almost surely, 2^{11105251500441} is an apocalyptic number.

It is an amenable number.

11105251500441 is a deficient number, since it is larger than the sum of its proper divisors (5897870368359).

11105251500441 is a wasteful number, since it uses less digits than its factorization.

11105251500441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983005.

The product of its (nonzero) digits is 4000, while the sum is 30.

Adding to 11105251500441 its reverse (14400515250111), we get a palindrome (25505766750552).

The spelling of 11105251500441 in words is "eleven trillion, one hundred five billion, two hundred fifty-one million, five hundred thousand, four hundred forty-one".