105201340441 has 8 divisors (see below), whose sum is σ = 108956582280. Its totient is φ = 101454605952.

The previous prime is 105201340393. The next prime is 105201340451. The reversal of 105201340441 is 144043102501.

It can be written as a sum of positive squares in 4 ways, for example, as 4778265625 + 100423074816 = 69125^2 + 316896^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-105201340441 is a prime.

It is a super-2 number, since 2×105201340441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105201340451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2101660 + ... + 2151133.

It is an arithmetic number, because the mean of its divisors is an integer number (13619572785).

Almost surely, 2^105201340441 is an apocalyptic number.

It is an amenable number.

105201340441 is a deficient number, since it is larger than the sum of its proper divisors (3755241839).

105201340441 is an equidigital number, since it uses as much as digits as its factorization.

105201340441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253675.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 105201340441 its reverse (144043102501), we get a palindrome (249244442942).

The spelling of 105201340441 in words is "one hundred five billion, two hundred one million, three hundred forty thousand, four hundred forty-one".