105468583 has 8 divisors (see below), whose sum is σ = 116678016. Its totient is φ = 94529400.

The previous prime is 105468557. The next prime is 105468617. The reversal of 105468583 is 385864501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105468583 - 2¹⁷ = 105337511 is a prime.

It is a super-2 number, since 2×105468583² = 22247244000055778, which 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 (105468533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66741 + ... + 68302.

It is an arithmetic number, because the mean of its divisors is an integer number (14584752).

Almost surely, 2^105468583 is an apocalyptic number.

105468583 is a deficient number, since it is larger than the sum of its proper divisors (11209433).

105468583 is a wasteful number, since it uses less digits than its factorization.

105468583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135125.

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 105468583 is about 10269.7898225816. The cubic root of 105468583 is about 472.4701443394.

The spelling of 105468583 in words is "one hundred five million, four hundred sixty-eight thousand, five hundred eighty-three".