105541604441 has 64 divisors (see below), whose sum is σ = 139945107456. Its totient is φ = 77225702400.

The previous prime is 105541604429. The next prime is 105541604477. The reversal of 105541604441 is 144406145501.

It is not a de Polignac number, because 105541604441 - 2¹⁰ = 105541603417 is a prime.

It is a super-2 number, since 2×105541604441² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105541604411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36354596 + ... + 36357498.

It is an arithmetic number, because the mean of its divisors is an integer number (2186642304).

Almost surely, 2^105541604441 is an apocalyptic number.

It is an amenable number.

105541604441 is a deficient number, since it is larger than the sum of its proper divisors (34403503015).

105541604441 is a wasteful number, since it uses less digits than its factorization.

105541604441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342.

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 105541604441 its reverse (144406145501), we get a palindrome (249947749942).

The spelling of 105541604441 in words is "one hundred five billion, five hundred forty-one million, six hundred four thousand, four hundred forty-one".