105458313584 has 20 divisors (see below), whose sum is σ = 220042827816. Its totient is φ = 48673067712.

The previous prime is 105458313557. The next prime is 105458313643. The reversal of 105458313584 is 485313854501.

It is a super-2 number, since 2×105458313584² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 253505354 + ... + 253505769.

Almost surely, 2^105458313584 is an apocalyptic number.

It is an amenable number.

105458313584 is an abundant number, since it is smaller than the sum of its proper divisors (114584514232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105458313584 is a wasteful number, since it uses less digits than its factorization.

105458313584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507011144 (or 507011138 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 47.

The spelling of 105458313584 in words is "one hundred five billion, four hundred fifty-eight million, three hundred thirteen thousand, five hundred eighty-four".