105505584002 has 16 divisors (see below), whose sum is σ = 194779540032. Its totient is φ = 41738472720.

The previous prime is 105505583941. The next prime is 105505584071. The reversal of 105505584002 is 200485505501.

It is a super-2 number, since 2×105505584002² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 289850324 + ... + 289850687.

It is an arithmetic number, because the mean of its divisors is an integer number (12173721252).

Almost surely, 2^105505584002 is an apocalyptic number.

105505584002 is a deficient number, since it is larger than the sum of its proper divisors (89273956030).

105505584002 is a wasteful number, since it uses less digits than its factorization.

105505584002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579701033.

The product of its (nonzero) digits is 40000, while the sum is 35.

The spelling of 105505584002 in words is "one hundred five billion, five hundred five million, five hundred eighty-four thousand, two".