105513441 has 48 divisors (see below), whose sum is σ = 171834048. Its totient is φ = 56908800.

The previous prime is 105513433. The next prime is 105513451. The reversal of 105513441 is 144315501.

It is a happy number.

It is not a de Polignac number, because 105513441 - 2³ = 105513433 is a prime.

It is a super-2 number, since 2×105513441² = 22266172463320962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105513451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202261 + ... + 202781.

It is an arithmetic number, because the mean of its divisors is an integer number (3579876).

Almost surely, 2^105513441 is an apocalyptic number.

105513441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105513441 is a deficient number, since it is larger than the sum of its proper divisors (66320607).

105513441 is a wasteful number, since it uses less digits than its factorization.

105513441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105513441 is about 10271.9735688912. The cubic root of 105513441 is about 472.5371186651.

Adding to 105513441 its reverse (144315501), we get a palindrome (249828942).

The spelling of 105513441 in words is "one hundred five million, five hundred thirteen thousand, four hundred forty-one".