105005041253 has 8 divisors (see below), whose sum is σ = 121695984000. Its totient is φ = 88736654160.

The previous prime is 105005041237. The next prime is 105005041291. The reversal of 105005041253 is 352140500501.

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

It is not a de Polignac number, because 105005041253 - 2⁴ = 105005041237 is a prime.

It is a super-2 number, since 2×105005041253² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005041213) 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, 105638378 + ... + 105639371.

It is an arithmetic number, because the mean of its divisors is an integer number (15211998000).

Almost surely, 2^105005041253 is an apocalyptic number.

It is an amenable number.

105005041253 is a deficient number, since it is larger than the sum of its proper divisors (16690942747).

105005041253 is an equidigital number, since it uses as much as digits as its factorization.

105005041253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211277827.

The product of its (nonzero) digits is 3000, while the sum is 26.

Adding to 105005041253 its reverse (352140500501), we get a palindrome (457145541754).

The spelling of 105005041253 in words is "one hundred five billion, five million, forty-one thousand, two hundred fifty-three".