105355103440153 has 16 divisors (see below), whose sum is σ = 125651025513216. Its totient is φ = 86371114420800.

The previous prime is 105355103440151. The next prime is 105355103440207. The reversal of 105355103440153 is 351044301553501.

It is a cyclic number.

It is not a de Polignac number, because 105355103440153 - 2¹ = 105355103440151 is a prime.

It is a super-2 number, since 2×105355103440153² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105355103440151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24451798 + ... + 28435903.

It is an arithmetic number, because the mean of its divisors is an integer number (7853189094576).

Almost surely, 2^{105355103440153} is an apocalyptic number.

It is an amenable number.

105355103440153 is a deficient number, since it is larger than the sum of its proper divisors (20295922073063).

105355103440153 is a wasteful number, since it uses less digits than its factorization.

105355103440153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52900104.

The product of its (nonzero) digits is 270000, while the sum is 40.

Adding to 105355103440153 its reverse (351044301553501), we get a palindrome (456399404993654).

The spelling of 105355103440153 in words is "one hundred five trillion, three hundred fifty-five billion, one hundred three million, four hundred forty thousand, one hundred fifty-three".