105458100513 has 16 divisors (see below), whose sum is σ = 144467808576. Its totient is φ = 68387074560.

The previous prime is 105458100491. The next prime is 105458100533. The reversal of 105458100513 is 315001854501.

It is a happy number.

It is not a de Polignac number, because 105458100513 - 2²⁰ = 105457051937 is a prime.

It is a super-2 number, since 2×105458100513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105458100533) 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 15 ways as a sum of consecutive naturals, for example, 1230631 + ... + 1313532.

It is an arithmetic number, because the mean of its divisors is an integer number (9029238036).

Almost surely, 2^105458100513 is an apocalyptic number.

It is an amenable number.

105458100513 is a deficient number, since it is larger than the sum of its proper divisors (39009708063).

105458100513 is a wasteful number, since it uses less digits than its factorization.

105458100513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544544.

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 105458100513 in words is "one hundred five billion, four hundred fifty-eight million, one hundred thousand, five hundred thirteen".