105351310521 has 12 divisors (see below), whose sum is σ = 161125533972. Its totient is φ = 66102782976.

The previous prime is 105351310517. The next prime is 105351310531. The reversal of 105351310521 is 125013153501.

105351310521 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 131 + 0 + 521 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33078515625 + 72272794896 = 181875^2 + 268836^2 .

It is not a de Polignac number, because 105351310521 - 2² = 105351310517 is a prime.

It is a super-2 number, since 2×105351310521² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105351310531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344285176 + ... + 344285481.

It is an arithmetic number, because the mean of its divisors is an integer number (13427127831).

Almost surely, 2^105351310521 is an apocalyptic number.

It is an amenable number.

105351310521 is a deficient number, since it is larger than the sum of its proper divisors (55774223451).

105351310521 is a wasteful number, since it uses less digits than its factorization.

105351310521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688570680 (or 688570677 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 105351310521 in words is "one hundred five billion, three hundred fifty-one million, three hundred ten thousand, five hundred twenty-one".