105485616583 has 16 divisors (see below), whose sum is σ = 114125954400. Its totient is φ = 97190945280.

The previous prime is 105485616581. The next prime is 105485616589. The reversal of 105485616583 is 385616584501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105485616583 - 2¹ = 105485616581 is a prime.

It is a super-2 number, since 2×105485616583² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105485616583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105485616581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408166 + ... + 614467.

It is an arithmetic number, because the mean of its divisors is an integer number (7132872150).

Almost surely, 2^105485616583 is an apocalyptic number.

105485616583 is a deficient number, since it is larger than the sum of its proper divisors (8640337817).

105485616583 is a wasteful number, since it uses less digits than its factorization.

105485616583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022802.

The product of its (nonzero) digits is 3456000, while the sum is 52.

The spelling of 105485616583 in words is "one hundred five billion, four hundred eighty-five million, six hundred sixteen thousand, five hundred eighty-three".