105105462533013 has 4 divisors (see below), whose sum is σ = 140140616710688. Its totient is φ = 70070308355340.

The previous prime is 105105462532981. The next prime is 105105462533039. The reversal of 105105462533013 is 310335264501501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 105105462533013 - 2⁵ = 105105462532981 is a prime.

It is a super-2 number, since 2×105105462533013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105462543013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17517577088833 + ... + 17517577088838.

It is an arithmetic number, because the mean of its divisors is an integer number (35035154177672).

Almost surely, 2^{105105462533013} is an apocalyptic number.

It is an amenable number.

105105462533013 is a deficient number, since it is larger than the sum of its proper divisors (35035154177675).

105105462533013 is an equidigital number, since it uses as much as digits as its factorization.

105105462533013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35035154177674.

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 105105462533013 in words is "one hundred five trillion, one hundred five billion, four hundred sixty-two million, five hundred thirty-three thousand, thirteen".