10905416041 has 27 divisors (see below), whose sum is σ = 12274376751. Its totient is φ = 9684327744.

The previous prime is 10905416009. The next prime is 10905416047. The reversal of 10905416041 is 14061450901.

The square root of 10905416041 is 104429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10863684441 + 41731600 = 104229^2 + 6460^2 .

It is not a de Polignac number, because 10905416041 - 2⁵ = 10905416009 is a prime.

It is a super-2 number, since 2×10905416041² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10905415994 and 10905416012.

It is not an unprimeable number, because it can be changed into a prime (10905416047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39369595 + ... + 39369871.

Almost surely, 2^10905416041 is an apocalyptic number.

10905416041 is the 104429-th square number.

10905416041 is the 52215-th centered octagonal number.

It is an amenable number.

10905416041 is a deficient number, since it is larger than the sum of its proper divisors (1368960710).

10905416041 is an frugal number, since it uses more digits than its factorization.

10905416041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 10905416041 its reverse (14061450901), we get a palindrome (24966866942).

The spelling of 10905416041 in words is "ten billion, nine hundred five million, four hundred sixteen thousand, forty-one".