105311000053 has 32 divisors (see below), whose sum is σ = 130398667776. Its totient is φ = 82994915328.

The previous prime is 105311000033. The next prime is 105311000077. The reversal of 105311000053 is 350000113501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105311000053 is a prime.

It is a super-2 number, since 2×105311000053² (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 (105311000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433700 + ... + 1505362.

It is an arithmetic number, because the mean of its divisors is an integer number (4074958368).

Almost surely, 2^105311000053 is an apocalyptic number.

It is an amenable number.

105311000053 is a deficient number, since it is larger than the sum of its proper divisors (25087667723).

105311000053 is a wasteful number, since it uses less digits than its factorization.

105311000053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71973.

The product of its (nonzero) digits is 225, while the sum is 19.

Adding to 105311000053 its reverse (350000113501), we get a palindrome (455311113554).

The spelling of 105311000053 in words is "one hundred five billion, three hundred eleven million, fifty-three", and thus it is an aban number.